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EFFECT OF ABOODH ADOMIAN METHOD FOR THE SOLUTION OF NON-LINEAR INTEGRO DIFFERENTIAL AND VOLTERRA INTEGERAL EQUATIONS BASED ON NEWTONRAPHSON METHOD

Asif Iqbal Ali, Muhammad Kalim, Adnan Khan

In this paper, we set up an altered Aboodh transform Adomian break up technique to solve non-linear Vȯlterra integral and integrȯ-differential equations. This scheme separate it from initial Aboodh Adȯmian splitting method because it involves the terms of Adomian polynomials. we applied Newton-Raphsȯn method instead of ui (variable) in Adomian polynomials. The assigned scheme is explored with few explained examples that gave feasible solutions.

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