Comparing Optimal Homotopy Asymptotic Method and Adomian Decomposition Method for the Solution of Integro-Differential Equations

Abstract

In this work, the author compares optimal homotopy asymptotic method with Adomian decomposition method for the solution of integro-differential equations. These methods are applied to first, second and third order problems. Both of these methods develop series solutions to a wide variety of functional equations. Optimal homotopy asymptotic method traces the solution very rapidly as it uses a homotopy and control the convergence by the virtue of auxiliary function. Numerical results are compared with the exact solution.

Authors and Affiliations

Javed Ali

Keywords

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  • EP ID EP394272
  • DOI 10.9790/9622-0805051519.
  • Views 96
  • Downloads 0

How To Cite

Javed Ali (2018). Comparing Optimal Homotopy Asymptotic Method and Adomian Decomposition Method for the Solution of Integro-Differential Equations. International Journal of engineering Research and Applications, 8(5), 15-19. https://europub.co.uk/articles/-A-394272