Efficient Computational Approach for Generalized Fractional KdV–Burgers Equation

被引：0
|
作者：
Rida S.Z. [1 ]
Hussien H.S. [1 ]
机构：
[1] Mathematics Department, Faculty of Science, South Valley University, Qena
来源：
International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 6期
关键词：
Collocation method; Error analysis; Fractional calculus; Fractional Korteweg–de Vries and Burgers equations; Mittag–Leffler function;
D O I：
10.1007/s40819-020-00915-1
中图分类号：
学科分类号：
摘要：
A collocation method based on double summations of Mittag–Leffler functions is proposed to solve the Korteweg–de Vries (KdV) and Burgers equation of fractional order with initial-boundary conditions. The resulting algebraic system is constructed as a constrained optimization problem and optimized to obtain the unknown coefficients. Error analysis of the approximation solution is studied. Simulations of the results are studied graphically through representations for the effect of fractional order parameters and time levels. The results ensure that the proposed method is accurate and efficient. © 2020, Springer Nature India Private Limited.
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