• 2454 Citations
  • 29 h-Index
1992 …2019
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Research Output 1992 2019

  • 2454 Citations
  • 29 h-Index
  • 199 Article
  • 52 Conference contribution
  • 4 Editorial
  • 1 Conference article
2009
88 Citations (Scopus)

Homotopy analysis method for singular IVPs of Emden-Fowler type

Bataineh, A. S., Md. Noorani, M. S. & Hashim, I., Apr 2009, In : Communications in Nonlinear Science and Numerical Simulation. 14, 4, p. 1121-1131 11 p.

Research output: Contribution to journalArticle

Homotopy Analysis Method
Singular Problems
Initial value problems
Initial Value Problem
Homotopy Perturbation Method
57 Citations (Scopus)

Modified homotopy analysis method for solving systems of second-order BVPs

Bataineh, A. S., Md. Noorani, M. S. & Hashim, I., Feb 2009, In : Communications in Nonlinear Science and Numerical Simulation. 14, 2, p. 430-442 13 p.

Research output: Contribution to journalArticle

Homotopy Analysis Method
boundary value problems
Boundary value problems
Boundary Value Problem
Numerical Comparisons
24 Citations (Scopus)

On accuracy of Adomian decomposition method for hyperchaotic Rössler system

Al-Sawalha, M. M., Md. Noorani, M. S. & Hashim, I., 30 May 2009, In : Chaos, Solitons and Fractals. 40, 4, p. 1801-1807 7 p.

Research output: Contribution to journalArticle

Hyperchaotic System
Adomian Decomposition Method
Lorenz System
Runge-Kutta
Chaotic System
87 Citations (Scopus)

On a new reliable modification of homotopy analysis method

Sami Bataineh, A., Md. Noorani, M. S. & Hashim, I., Feb 2009, In : Communications in Nonlinear Science and Numerical Simulation. 14, 2, p. 409-423 15 p.

Research output: Contribution to journalArticle

Homotopy Analysis Method
Differential equations
differential equations
coefficients
Variable Coefficients
36 Citations (Scopus)

On anti-synchronization of chaotic systems via nonlinear control

Mossa Al-sawalha, M. & Md. Noorani, M. S., 15 Oct 2009, In : Chaos, Solitons and Fractals. 42, 1, p. 170-179 10 p.

Research output: Contribution to journalArticle

Anti-synchronization
Nonlinear Control
Chaotic System
L-system
Lorenz System
25 Citations (Scopus)

On generalized b-closed sets

Al-Omari, A. & Md. Noorani, M. S., 2009, In : Bulletin of the Malaysian Mathematical Sciences Society. 32, 1, p. 19-30 12 p.

Research output: Contribution to journalArticle

Extremally Disconnected Space
Closed set
Class
Form
5 Citations (Scopus)

On relaxation normality in the fuglede-putnam theorem for a quasi-class a operators

Rashid, M. H. M. & Md. Noorani, M. S., Sep 2009, In : Tamkang Journal of Mathematics. 40, 3, p. 307-312 6 p.

Research output: Contribution to journalArticle

Normality
Hilbert-Schmidt Operator
Hubert Space
Bounded Linear Operator
Operator
6 Citations (Scopus)

On the homotopy analysis method for the exact solutions of Helmholtz equation

Alomari, A. K., Md. Noorani, M. S. & Mohd. Nazar, R., 30 Aug 2009, In : Chaos, Solitons and Fractals. 41, 4, p. 1873-1879 7 p.

Research output: Contribution to journalArticle

Homotopy Analysis Method
Helmholtz Equation
Exact Solution
Variational Iteration Method
Adomian Decomposition Method
1 Citation (Scopus)

On T-open sets and semi-compact spaces

Noiri, T., Al-Omari, A. & Md. Noorani, M. S., 2009, In : Mathematica. 51, 2, p. 153-161 9 p.

Research output: Contribution to journalArticle

Compact Space
Open set
Theorem
Class
25 Citations (Scopus)

Series solutions of systems of nonlinear fractional differential equations

Bataineh, A. S., Alomari, A. K., Md. Noorani, M. S., Hashim, I. & Mohd. Nazar, R., Feb 2009, In : Acta Applicandae Mathematicae. 105, 2, p. 189-198 10 p.

Research output: Contribution to journalArticle

Homotopy Analysis Method
Series Solution
Fractional Differential Equation
Nonlinear Differential Equations
Differential equations
33 Citations (Scopus)

Solution of Delay Differential Equation by Means of Homotopy Analysis Method

Alomari, A. K., Md. Noorani, M. S. & Mohd. Nazar, R., Nov 2009, In : Acta Applicandae Mathematicae. 108, 2, p. 395-412 18 p.

Research output: Contribution to journalArticle

Homotopy Analysis Method
Delay Differential Equations
Differential equations
Initial value problems
Initial Value Problem
14 Citations (Scopus)
Micropolar Fluid
Free Convection
Homotopy Analysis Method
Heat and Mass Transfer
Natural Convection
20 Citations (Scopus)
Hyperchaotic System
Variational Iteration Method
iteration
Decomposition
Differential Transformation Method
100 Citations (Scopus)

Variational iteration method for fractional heat- and wave-like equations

Molliq R, Y., Md. Noorani, M. S. & Hashim, I., Jun 2009, In : Nonlinear Analysis: Real World Applications. 10, 3, p. 1854-1869 16 p.

Research output: Contribution to journalArticle

Infrared Rays
Variational Iteration Method
Adomian Decomposition Method
Fractional Differential Equation
Variable Coefficients

Weak forms of open and closed functions via b-θ-open sets

Noiri, T., Al-Omari, A. & Md. Noorani, M. S., 1 Jan 2009, In : Demonstratio Mathematica. 42, 1, p. 193-203 11 p.

Research output: Contribution to journalArticle

Open set
Closed
Closure Operator
Form
2008
16 Citations (Scopus)

Active anti-synchronization between identical and distinctive hyperchaotic systems

Al-Sawalha, M. M. & Md. Noorani, M. S., Dec 2008, In : Open Systems and Information Dynamics. 15, 4, p. 371-382 12 p.

Research output: Contribution to journalArticle

Anti-synchronization
Hyperchaotic System
synchronism
Synchronization
control theory
47 Citations (Scopus)

Application of variational iteration method to the generalized Burgers-Huxley equation

Batiha, B., Md. Noorani, M. S. & Hashim, I., May 2008, In : Chaos, Solitons and Fractals. 36, 3, p. 660-663 4 p.

Research output: Contribution to journalArticle

Variational Iteration Method
Burger equation
Burgers Equation
Generalized Equation
iteration
41 Citations (Scopus)

Approximate analytical solutions of systems of PDEs by homotopy analysis method

Sami Bataineh, A., Md. Noorani, M. S. & Hashim, I., Jun 2008, In : Computers and Mathematics with Applications. 55, 12, p. 2913-2923 11 p.

Research output: Contribution to journalArticle

Homotopy Analysis Method
Systems of Partial Differential Equations
Partial differential equations
Analytical Solution
Series Solution
38 Citations (Scopus)
boundary value problems
5 Citations (Scopus)

Boundary effect on Marangoni convection in a variable viscosity fluid layer

Abidin, N. Z., Arifin, N. M. & Md. Noorani, M. S., 2008, In : Journal of Mathematics and Statistics. 4, 1, p. 1-8 8 p.

Research output: Contribution to journalArticle

Marangoni Convection
Variable Viscosity
Boundary Effect
Fluid
Conductivity
25 Citations (Scopus)

Chaos anti-synchronization between two novel different hyperchaotic systems

Al-Sawalha, M. M. & Md. Noorani, M. S., 1 Aug 2008, In : Chinese Physics Letters. 25, 8, p. 2743-2746 4 p.

Research output: Contribution to journalArticle

active control
chaos
synchronism
controllers
1 Citation (Scopus)

Decomposition of continuity via b-open set

Al-Omari, A. & Md. Noorani, M. S., 2008, In : Boletim da Sociedade Paranaense de Matematica. 26, 1-2, p. 53-64 12 p.

Research output: Contribution to journalArticle

Open set
Decompose
Closed
Continuous Function
35 Citations (Scopus)

Further accuracy tests on Adomian decomposition method for chaotic systems

Abdulaziz, O., Noor, N. F. M., Hashim, I. & Md. Noorani, M. S., Jun 2008, In : Chaos, Solitons and Fractals. 36, 5, p. 1405-1411 7 p.

Research output: Contribution to journalArticle

Adomian Decomposition Method
Chaotic System
decomposition
Chen System
Runge-Kutta method
4 Citations (Scopus)

Generalized Weyl's theorem for log-hyponormal

Rashid, M. H. M., Md. Noorani, M. S. & Saari, A. S., 2008, In : Malaysian Journal of Mathematical Sciences. 2, 1, p. 73-82 10 p.

Research output: Contribution to journalArticle

Weyl's Theorem
22 Citations (Scopus)

Modified Baptista type chaotic cryptosystem via matrix secret key

Ariffin, M. R. K. & Md. Noorani, M. S., 11 Aug 2008, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 372, 33, p. 5427-5430 4 p.

Research output: Contribution to journalArticle

attack
matrices
logistics
8 Citations (Scopus)

Numerical experiments on the hyperchaotic Chen system by the Adomian decomposition methods

Al-Sawalha, M. M., Md. Noorani, M. S. & Hashim, I., 2008, In : International Journal of Computational Methods. 5, 3, p. 403-412 10 p.

Research output: Contribution to journalArticle

Chen System
Hyperchaotic System
Adomian Decomposition Method
Numerical Experiment
Decomposition
14 Citations (Scopus)

Numerical simulations of systems of PDEs by variational iteration method

Batiha, B., Md. Noorani, M. S., Hashim, I. & Batiha, K., 4 Feb 2008, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 372, 6, p. 822-829 8 p.

Research output: Contribution to journalArticle

partial differential equations
iteration
simulation
Lagrange multipliers
linear systems
7 Citations (Scopus)

On solving the Lorenz system by differential transformation method

Mossa Al-Sawalha, M. & Md. Noorani, M. S., 1 Apr 2008, In : Chinese Physics Letters. 25, 4, p. 1217-1219 3 p.

Research output: Contribution to journalArticle

Runge-Kutta method
differential equations

On the generalized Fuglede-Putnam theorem

Rashid, M. H. M., Md. Noorani, M. S. & Saari, A. S., 2008, In : Tamkang Journal of Mathematics. 39, 3, p. 239-246 8 p.

Research output: Contribution to journalArticle

Operator
Theorem
Assertion
Imply
2 Citations (Scopus)

On the spectra of some non-normal operators

Rashid, M. H. M., Md. Noorani, M. S. & Saari, A. S., 2008, In : Bulletin of the Malaysian Mathematical Sciences Society. 31, 2, p. 135-143 9 p.

Research output: Contribution to journalArticle

Injective
Invertible
Normal Operator
Unitary Operator
Point Spectrum
13 Citations (Scopus)
predators
dynamical systems
iteration
Runge-Kutta method
differential equations
8 Citations (Scopus)
Lotka-Volterra Equations
Homotopy Analysis Method
Continuous Solution
Series Solution
Polynomial Basis
8 Citations (Scopus)
heat of solution
wave equations
heat
coefficients
strokes
58 Citations (Scopus)

Solving systems of ODEs by homotopy analysis method

Sami Bataineh, A., Md. Noorani, M. S. & Hashim, I., Dec 2008, In : Communications in Nonlinear Science and Numerical Simulation. 13, 10, p. 2060-2070 11 p.

Research output: Contribution to journalArticle

Homotopy Analysis Method
Runge Kutta methods
Chaotic systems
System of Ordinary Differential Equations
Ordinary differential equations

The effect of UNBabc mapping function modification to GPS tropospheric delay

Sakidin, H., Abu Bakar, M. R., Shariff, A. R. M., Md. Noorani, M. S., Matori, A. N., Mohamed, A. & Ahmad, A., 2008, In : Malaysian Journal of Mathematical Sciences. 2, 1, p. 59-71 13 p.

Research output: Contribution to journalArticle

Global Positioning System
Degree Elevation
Angle
Scale factor
Refraction
44 Citations (Scopus)

The homotopy analysis method for Cauchy reaction-diffusion problems

Bataineh, A. S., Md. Noorani, M. S. & Hashim, I., 28 Jan 2008, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 372, 5, p. 613-618 6 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Weyl's type theorems for quasi-class a operators

Rashid, M. H. M., Md. Noorani, M. S. & Saari, A. S., 2008, In : Journal of Mathematics and Statistics. 4, 2, p. 70-74 5 p.

Research output: Contribution to journalArticle

Operator
Theorem
Weyl's Theorem
Hilbert space
Spectral Theorem
2007
27 Citations (Scopus)
wave equations
iteration
heat
11 Citations (Scopus)

Approximate analytical solution of the coupled sine-Gordon equation using the variational iteration method

Batiha, B., Md. Noorani, M. S. & Hashim, I., 1 Nov 2007, In : Physica Scripta. 76, 5, p. 445-448 4 p.

Research output: Contribution to journalArticle

Variational Iteration Method
Sine-Gordon Equation
iteration
Analytical Solution
Lagrange multipliers
39 Citations (Scopus)

Comparing numerical methods for the solutions of the Chen system

Md. Noorani, M. S., Hashim, I., Ahmad, R. . R., Abu Bakar, S., Ismail, E. S. & Zakaria, A. M., May 2007, In : Chaos, Solitons and Fractals. 32, 4, p. 1296-1304 9 p.

Research output: Contribution to journalArticle

Chen System
Adomian Decomposition Method
Numerical Methods
decomposition
Lorenz System
4 Citations (Scopus)

Counting closed orbits of hyperbolic diffeomorphisms

Md. Noorani, M. S., Aug 2007, In : Results in Mathematics. 50, 3-4, p. 241-257 17 p.

Research output: Contribution to journalArticle

Closed Orbit
Diffeomorphisms
Counting
Orbits
Diffeomorphism
7 Citations (Scopus)

Modelling of marangoni convection using proper orthogonal decomposition

Arifin, N. M., Md. Noorani, M. S. & Kiliçman, A., May 2007, In : Nonlinear Dynamics. 48, 3, p. 331-337 7 p.

Research output: Contribution to journalArticle

Marangoni Convection
Orthogonal Decomposition
Decomposition
Basis Functions
Modeling
37 Citations (Scopus)

Numerical simulation of the generalized Huxley equation by He's variational iteration method

Batiha, B., Md. Noorani, M. S. & Hashim, I., 15 Mar 2007, In : Applied Mathematics and Computation. 186, 2, p. 1322-1325 4 p.

Research output: Contribution to journalArticle

Variational Iteration Method
Generalized Equation
Polynomials
Adomian Polynomials
Decomposition
51 Citations (Scopus)
iteration
76 Citations (Scopus)
decomposition
perturbation
32 Citations (Scopus)

Variational iteration method for solving multispecies Lotka-Volterra equations

Batiha, B., Md. Noorani, M. S. & Hashim, I., Oct 2007, In : Computers and Mathematics with Applications. 54, 7-8, p. 903-909 7 p.

Research output: Contribution to journalArticle

Lotka-Volterra Equations
Variational Iteration Method
Runge Kutta methods
Nonlinear equations
Adomian Decomposition
2006
79 Citations (Scopus)

Accuracy of the Adomian decomposition method applied to the Lorenz system

Hashim, I., Md. Noorani, M. S., Ahmad, R. . R., Abu Bakar, S., Ismail, E. S. & Zakaria, A. M., Jun 2006, In : Chaos, Solitons and Fractals. 28, 5, p. 1149-1158 10 p.

Research output: Contribution to journalArticle

Adomian Decomposition Method
Lorenz System
decomposition
Infinite series
Runge-Kutta
26 Citations (Scopus)

A note on the Adomian decomposition method for the generalized Huxley equation

Hashim, I., Md. Noorani, M. S. & Batiha, B., 15 Oct 2006, In : Applied Mathematics and Computation. 181, 2, p. 1439-1445 7 p.

Research output: Contribution to journalArticle

Adomian Decomposition Method
Generalized Equation
Decomposition
Fisher Equation
Burgers Equation

Approximate fixed point theorems in probabilistic structures

Rafi, M. & Md. Noorani, M. S., 2006, In : International Journal of Applied Mathematics and Statistics. 6, DO6, p. 48-55 8 p.

Research output: Contribution to journalArticle

Approximate Fixed Point
Fixed point theorem
Fixed point
21 Citations (Scopus)

Fixed point theorem on intuitionistic fuzzy metric spaces

Rafi, M. & Md. Noorani, M. S., 2006, In : Iranian Journal of Fuzzy Systems. 3, 1, p. 23-29 7 p.

Research output: Contribution to journalArticle

Fuzzy Metric Space
Fuzzy Mapping
Contraction Mapping
Fixed point theorem
Contraction mapping