An efficient algorithm for solving Fredholm integro-differential equations with weakly singular kernels

• Autores: Zhong Chen, Xue Cheng
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 257, Nº 1, 2014, págs. 57-64
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.08.018
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• Resumen

  • In this paper, an effective method based upon the piecewise homotopy perturbation method (PHPM) is proposed for finding the numerical solutions of Fredholm integrodifferential equations with weakly singular kernels. For these equations, the traditional homotopy perturbation method is divergent. So we present a modified homotopy perturbation method for solving this kind of equation. The advantages of the approach of this paper lie in the feature that this technique not only achieves an approximate solution with high accuracy, but also improves the calculation speed. Two examples are given to show the effectiveness and convenience of this method