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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-2
Year of Publication : 2021
Authors : Liberty Ebiwareme
  10.14445/22315373/IJMTT-V67I2P521

MLA

MLA Style: 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 67.2 (2021):146-158. 

APA Style: Liberty Ebiwareme(2021). Application of Semi-Analytical Iteration Techniques for the Numerical Solution of Linear and Nonlinear Differential Equations. International Journal of Mathematics Trends and Technology, 146-158.

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.

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