THE RELIABLE MODIFIED OF ADOMIAN DECOMPOSITION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS

In this article, we discussed semi-analytical approximated methods for solving mixed Volterra-Fredholm integro-differential equations, namely: Adomian decomposition method and modified Adomian decomposition method. Moreover, we prove the unique-ness results and convergence of the techniques. Finally, an example is included to demonstrate the validity and applicability of the proposed techniques.

1. Introduction

2. Nonlinear Mixed Volterra-Fredholm Integro-Differential Equation of Second Kind

3. Description of the Methods

4. Uniqueness and Convergence Results

5. Numerical Example

6. Conclusion

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