Korean J. Math. Vol. 25 No. 3 (2017) pp.323-334
DOI: https://doi.org/10.11568/kjm.2017.25.3.323

The reliable modified of Laplace adomian decomposition method to solve nonlinear interval Volterra-Fredholm integral equations

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Published: Sep 30, 2017
Keywords:
Modified Adomian Decomposition Method, Laplace Transform, Nonlinear interval Volterra-Fredholm integral equation
Mathematics Subject Classification:
44A10, 45G10, 65M55

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Ahmed Hamoud
Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University Aurangabad, 431004, India
Kirtiwant Ghadle
Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University Aurangabad, 431004, India

Abstract

In this paper, we propose a combined form for solving nonlinear interval Volterra-Fredholm integral equations of the second kind based on the modifying Laplace Adomian decomposition method. We find the exact solutions of nonlinear interval Volterra-Fredholm integral equations with less computation as compared with standard decomposition method. Finally, an illustrative example has been solved to show the efficiency of the proposed method.


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References

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