Application of Semi-Analytical Iteration Techniques
for the Numerical Solution of Linear and Nonlinear
Differential Equations.

Liberty Ebiwareme

doi:https://doi.org/10.14445/22315373/IJMTT-V67I2P521

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P521

Application of Semi-Analytical Iteration Techniques for the Numerical Solution of Linear and Nonlinear Differential Equations.

Liberty Ebiwareme

Abstract

In this research article, we apply four semi-analytical iteration techniques namely: Differential Transform method, variational iteration method, Adomian decomposition method and Temimi and Ansari respectively to both linear and nonlinear differential equations of first, second and third orders. The results obtained reveal, the variational iteration gives a solution in series form which converges to the true solution followed by the Adomian decomposition method and Temimi and Ansari method.

Keywords

Temimi and Ansari Method (TAM), Adomian decomposition method (ADM), Differential transform method (DTM), Variational iteration method (VIM)

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Citation :

Liberty Ebiwareme, "Application of Semi-Analytical Iteration Techniques for the Numerical Solution of Linear and Nonlinear Differential Equations.," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 2, pp. 146-158, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I2P521