Combination of Lucas wavelets with Legendre–Gauss quadrature for fractional Fredholm–Volterra integro-differential equations

2021 ◽  
Vol 382 ◽  
pp. 113070 ◽  
Author(s):  
H. Dehestani ◽  
Y. Ordokhani ◽  
M. Razzaghi
Keyword(s):  
Differential Equations ◽  
Gauss Quadrature

scholarly journals Development of Galerkin Method for Solving the Generalized Burger's-Huxley Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
M. El-Kady ◽  
S. M. El-Sayed ◽  
H. E. Fathy
Keyword(s):  
Differential Equations ◽  
Galerkin Method ◽  
Ordinary Differential Equations ◽  
Quadrature Formula ◽  
Numerical Results ◽  
Basis Functions ◽  
Gauss Quadrature ◽  
Gauss Quadrature Formula ◽  
Huxley Equation ◽  
Numerical Treatments

Numerical treatments for the generalized Burger's—Huxley GBH equation are presented. The treatments are based on cardinal Chebyshev and Legendre basis functions with Galerkin method. Gauss quadrature formula and El-gendi method are used to convert the problem into a system of ordinary differential equations. The numerical results are compared with the literatures to show efficiency of the proposed methods.

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