Spectrally accurate approximate solutions and convergence analysis of fractional Burgers' equation

被引:2
|
作者
Mittal, A. K. [1 ]
机构
[1] IIITDM Jabalpur, Discipline Math, Jabalpur 482005, Madhya Pradesh, India
关键词
35R11; 65M12; 65M70; 65Y99; NUMERICAL-SOLUTIONS; TIME; STABILITY;
D O I
10.1007/s40065-020-00286-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a new numerical technique implements on the time-space pseudospectral method to approximate the numerical solutions of nonlinear time- and space-fractional coupled Burgers' equation. This technique is based on orthogonal Chebyshev polynomial function and discretizes using Chebyshev-Gauss-Lobbato (CGL) points. Caputo-Riemann-Liouville fractional derivative formula is used to illustrate the fractional derivatives matrix at CGL points. Using the derivatives matrices, the given problem is reduced to a system of nonlinear algebraic equations. These equations can be solved using Newton-Raphson method. Two model examples of time- and space-fractional coupled Burgers' equation are tested for a set of fractional space and time derivative order. The figures and tables show the significant features, effectiveness, and good accuracy of the proposed method.
引用
收藏
页码:633 / 644
页数:12
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