Analytical Approximations for Nonlinear Integro-Differential Equations

Authors

  • nabaa najdi hasan Department of Mathematics, College of Science, University of Mustansiriyah
  • Majid R. Nasif Department of Mathematics, College of Science, University of Mustansiriyah

DOI:

https://doi.org/10.23851/mjs.v30i3.675

Keywords:

Nonlinear Intgro-Differential Equation of Second Kind, Adomian Decomposition Method, Laplace Transform, Sumudu Transform.

Abstract

In this work, we are concerned with how to find a solution for the nonlinear integral
andointegro-differentialeequationsuusingttwoomethodsoLaplaceotransformiseries
idecomposition method (LTSDM) and Sumuduutransform series decomposition method
(STSDM). In these methods, the nonlinear part of the equation described in Adomian
idecomposition series. The Laplace and Sumudu methods are found to be reliable and
accurate. Four examples are discussed to check the applicability and the simplicity of these
methods. Finally, the results are tabulated and displayed graphically to make comparisons
between the approximate and exact solutions.

References

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[Crossref]

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[Crossref]

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Published

14-10-2019

Issue

Section

Mathematics

How to Cite

[1]
nabaa najdi hasan and M. R. Nasif, “Analytical Approximations for Nonlinear Integro-Differential Equations”, Al-Mustansiriyah Journal of Science, vol. 30, no. 3, pp. 64–70, Oct. 2019, doi: 10.23851/mjs.v30i3.675.

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