A RELIABLE AND FAST ALGORITHM FOR FOURTH ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

Javed Ali

Abstract


This work includes the extension of optimal homotopy asymptotic method to fourth-order Volterra integro-differential equations. This method converges more rapidly than any homotopy based method. Reliability of the method relates with the convergence. Convergence of the solution is controlled by convergence control parameters in the auxiliary function. Numerical results show excellent accuracy and efficiency of the proposed algorithm.

Keywords: Volterra integro-differential equations, optimal homotopy asymptotic method, auxiliary function, nonlinear problems.


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References


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