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Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach

机译:一种通过新方法的分数扩散方程数值分析

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The aim of this paper is a new semianalytical technique called the variational iteration transform method for solving fractional-order diffusion equations. In the variational iteration technique, identifying of the Lagrange multiplier is an essential rule, and variational theory is commonly used for this purpose. The current technique has the edge over other methods as it does not need extra parameters and polynomials. The validity of the proposed method is verified by considering some numerical problems. The solution achieved has shown that the better accuracy of the proposed technique. This paper proposes a simpler method to calculate the multiplier using the Shehu transformation, making a valuable technique to researchers dealing with various linear and nonlinear problems.
机译:本文的目的是一种称为变分迭代变换方法,用于求解分数级扩散方程的新半衰老技术。 在变分迭代技术中,标识乘法器的识别是基本规则,并且变分理论通常用于此目的。 当前技术具有其他方法,因为它不需要额外的参数和多项式。 通过考虑一些数值问题来验证所提出的方法的有效性。 实现的解决方案已经表明,所提出的技术的更好准确性。 本文提出了一种使用Shehu转换计算乘法器的更简单的方法,对处理各种线性和非线性问题的研究人员来说是一种有价值的技术。

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