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A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential
American Journal of Applied Mathematics
Volume 2, Issue 3, June 2014, Pages: 79-84
Received: May 11, 2014; Accepted: May 23, 2014; Published: Jun. 10, 2014
Authors
Aisan Khojasteh, M. A. Applied Mathematics, Science and Research Branch, Islamic Azad University, Broujerd, Iran
Mahmoud Paripour, Assistant Professor of Applied Mathematics, Hamedan University of Technology, Hamedan, Iran
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Abstract
Mathematical modeling of real-life problems usually results in functional equations, such as ordinary or partial differential equations, integral and integral-differential equations etc. The theory of integral equation is one of the major topics of applied mathematics. In this paper a new Homotopy Perturbation Method (HPM) is introduced to obtain exact solutions of the systems of integral equations-differential and is provided examples for the accuracy of this method. This paper presents an introduction to new method of HPM, then introduces the system of integral - differential linear equations and also introduces applications and literature. In second section we will introduce categorizations of averaging integral - differential and several methods to solve this kind of achievement. The third section introduces a new method of HPM. Fourth section determines quarter of integral - differential equations by using HPM. Therefore, we provide Conclusion and some examples that illustrate the effectiveness and convenience of the proposed method.
Keywords
New Homotopy Perturbation Method, Systems of Integral Equations - Differential
Aisan Khojasteh, Mahmoud Paripour, A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential, American Journal of Applied Mathematics. Vol. 2, No. 3, 2014, pp. 79-84. doi: 10.11648/j.ajam.20140203.12
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