Application of New Homotopy Analysis Method for First and Second Orders Integro- Differential Equations
نویسندگان
چکیده
This paper is aimed to demonstrate the modified form of Homotopy Analysis Method for solving both linear and nonlinear integro differential equations. The modified form of Homotopy Analysis method is found to be fast, reliable and accurate and contains an auxiliary parameter that provides a powerful tool to analyses strongly linear and nonlinear (without linearization) problems directly. Numerical examples are presented to compare the results obtained with some existing results found in literatures. Results obtained by the modified form Homotopy Analysis method are compared favorably and performed better in terms of accuracy achieved.
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