Analytical treatment of system of linear and nonlinear PDEs by homotopy-perturbation method

M. S H Chowdhury, Ishak Hashim, A. F. Ismail

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, the homotopyperturbation method (HPM) is employed to obtain approximate analytical solution to the linear and nonlinear systems of partial differential equations (PDEs). HPM yields solutions in convergent series forms with easily computable terms. Generally, the closed form of the exact solution or its expansion is obtained without any noise terms. Test examples demonstrate the efficiency of HPM.

Original languageEnglish
Title of host publicationWCE 2010 - World Congress on Engineering 2010
Pages1860-1863
Number of pages4
Volume3
Publication statusPublished - 2010
EventWorld Congress on Engineering 2010, WCE 2010 - London
Duration: 30 Jun 20102 Jul 2010

Other

OtherWorld Congress on Engineering 2010, WCE 2010
CityLondon
Period30/6/102/7/10

Fingerprint

Partial differential equations
Linear systems
Nonlinear systems

Keywords

  • Homotopy-perturbation method
  • Linear system of PDEs
  • Nonlinear system of PDEs

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

Cite this

Chowdhury, M. S. H., Hashim, I., & Ismail, A. F. (2010). Analytical treatment of system of linear and nonlinear PDEs by homotopy-perturbation method. In WCE 2010 - World Congress on Engineering 2010 (Vol. 3, pp. 1860-1863)

Analytical treatment of system of linear and nonlinear PDEs by homotopy-perturbation method. / Chowdhury, M. S H; Hashim, Ishak; Ismail, A. F.

WCE 2010 - World Congress on Engineering 2010. Vol. 3 2010. p. 1860-1863.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Chowdhury, MSH, Hashim, I & Ismail, AF 2010, Analytical treatment of system of linear and nonlinear PDEs by homotopy-perturbation method. in WCE 2010 - World Congress on Engineering 2010. vol. 3, pp. 1860-1863, World Congress on Engineering 2010, WCE 2010, London, 30/6/10.
Chowdhury MSH, Hashim I, Ismail AF. Analytical treatment of system of linear and nonlinear PDEs by homotopy-perturbation method. In WCE 2010 - World Congress on Engineering 2010. Vol. 3. 2010. p. 1860-1863
Chowdhury, M. S H ; Hashim, Ishak ; Ismail, A. F. / Analytical treatment of system of linear and nonlinear PDEs by homotopy-perturbation method. WCE 2010 - World Congress on Engineering 2010. Vol. 3 2010. pp. 1860-1863
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