Variational Iteration Method and Sumudu Transform for Solving Delay Differential Equation

Research output: Contribution to journalArticle

Abstract

In this research, a new approach is presented for solving delay differential equations (DDEs) which is a blend of Sumudu transform and variational iteration method (VIM). A general Lagrange multiplier is used to construct a correction functional. This is done with an uncommon Sumudu transform alongside variational theory. A few numerical cases were solved to demonstrate methodology of this new approach. Objective of this research is to reduce the complexity of computational work compared to the conventional approaches. It can be concluded that the amount of evaluation is reduced but at the same time the results are comparable as in the previous works.

Original languageEnglish
Article number6306120
JournalInternational Journal of Differential Equations
Volume2019
DOIs
Publication statusPublished - 1 Jan 2019

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Variational Iteration Method
Delay Differential Equations
Differential equations
Mathematical transformations
Transform
Lagrange multipliers
Methodology
Evaluation
Demonstrate

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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abstract = "In this research, a new approach is presented for solving delay differential equations (DDEs) which is a blend of Sumudu transform and variational iteration method (VIM). A general Lagrange multiplier is used to construct a correction functional. This is done with an uncommon Sumudu transform alongside variational theory. A few numerical cases were solved to demonstrate methodology of this new approach. Objective of this research is to reduce the complexity of computational work compared to the conventional approaches. It can be concluded that the amount of evaluation is reduced but at the same time the results are comparable as in the previous works.",
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