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- W2097746130 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." @default.
- W2097746130 created "2016-06-24" @default.
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- W2097746130 date "2014-01-01" @default.
- W2097746130 modified "2023-09-25" @default.
- W2097746130 title "A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential" @default.
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- W2097746130 doi "https://doi.org/10.11648/j.ajam.20140203.12" @default.
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