Solution of Integral Equations of Volterra Type Using The Adomian Decomposition Method (ADM)

Authors

  • Sunday Emmanuel Fadugba Department of Mathematics, Ekiti State University,

Keywords:

Volterra type, integral equation, exact solution, Adomian decomposition method

Abstract

This paper presents an alternative semi-analytical method for the solution of the Volterra integral equations. The solution of the Volterra integral equations has been decomposed into an infinite series of components via the Adomian decomposition method (ADM). Furthermore, four illustrative examples were solved to measure the performance of ADM in terms of suitability, convergence, and accuracy. Moreover, the results obtained via ADM were compared with the exact solution. Hence, ADM is found to be a good tool for the solution of Volterra integral equations and also minimizes the volume of calculations.

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Published

2020-12-31

How to Cite

Fadugba, S. E. (2020). Solution of Integral Equations of Volterra Type Using The Adomian Decomposition Method (ADM) . MathLAB Journal, 7, 16-23. Retrieved from https://purkh.com/index.php/mathlab/article/view/846

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Research Articles