改进的积分方程与变系数时间分数阶微分方程的分解方法相结合

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI:10.1007/s11766-022-4159-5

Muhammad Amin Sadiq Murad

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引用次数: 7

摘要

本文采用改进的积分方程，即Elzaki变换与Adomian分解方法(Elzaki Adomian decomposition method, EADM)相结合的方法，研究了变系数时间分数型四阶抛物型偏微分方程(PDEs)的解。用所引入的方法求解了该问题的两个模型，得到了模型的解析解和近似解。结果表明，该方法具有较高的精度，与变分迭代法(VIM)和拉普拉斯同伦摄动法(LHPM)的精确解相比较，简化了求解微分方程的过程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients

In this paper, the modified integral equation, namely, Elzaki transformation coupled with the Adomian decomposition method called Elzaki Adomian decomposition method (EADM) is used to investigate the solution of time-fractional fourth-order parabolic partial differential equations (PDEs) with variable coefficients. The introduced method is used to solve two models of the proposed problem, the analytical and approximate solutions of the models are obtained. The outcomes illustrate that the proposed technique is a highly accurate, and facilitates the process of solving differential equations by comparing it, with the exact solution and those obtained by the variation iteration method (VIM) and Laplace homotopy perturbation method (LHPM).

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.