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Series solution of fuzzy linear Cauchy reaction-diffusion equation by using homotopy perturbation method

机译:采用同型扰动法的模糊线性Cauchy反应扩散方程串联解决方法

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In this study, Homotopy Perturbation Method (HPM) is proposed, analyzed and developed to solve the fuzzy linear Cauchy reaction-diffusion equation with the fuzzy initial condition. HPM allows for the solution of the fuzzy linear Cauchy reaction-diffusion problem be calculated in the form of series function in which the ingredient can be easily determined and it will be constructed and formulated by using the properties of fuzzy set theory. A numerical experiment is investigated to verify convergence results for comparative purpose with the analytical solution of the given problem to illustrate the efficacy and the capability of the proposed method.
机译:在本研究中,提出了同型扰动方法(HPM),分析和开发,以解决与模糊初始条件的模糊线性Cauchy反应扩散方程。 HPM允许解决模糊线性CAUCHY反应 - 扩散问题以串联功能的形式计算,其中可以容易地确定成分,并且通过使用模糊设定理论的性质将构造和配制。研究了数值实验,以验证对比较的收敛结果与给定问题的分析解决方案来说明所提出的方法的功效和能力。

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