Numerical method for solving diffusion-wave phenomena

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Stojanovic, Mirjana

关键词: Convolution equations;    Fractional equations of distributed order;    Diffusion-wave phenomena;    Tempered distributions;    Approximation of tempered convolution;    Laguerre polynomials;   

DOI  :  10.1016/j.cam.2010.12.010

来源: Elsevier

【 摘 要 】

We find solutions for the diffusion-wave problem in 1D with n-term time fractional derivatives whose orders belong to the intervals (0, 1), (1, 2) and (0, 2) respectively, using the method of the approximation of the convolution by Laguerre polynomials in the space of tempered distributions. This method transfers the diffusion-wave problem into the corresponding infinite system of linear algebraic equations through the coefficients, which are uniquely solvable under some relations between the coefficients with index zero. The method is applicable for nonlinear problems too. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

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