A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel

2020 ◽  
Vol 157 ◽  
pp. 210-222 ◽  
Author(s):  
Hong Du ◽  
Zhong Chen ◽  
Tiejun Yang
Keyword(s):  
Differential Equation ◽  
Reproducing Kernel ◽  
Singular Kernel ◽  
Kernel Space ◽  
Reproducing Kernel Space ◽  
Weakly Singular Kernel ◽  
Integro Differential Equation ◽  
Weakly Singular

scholarly journals Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Xueqin Lv ◽  
Yue Gao
Keyword(s):  
Differential Equation ◽  
Reproducing Kernel ◽  
Simple Algorithm ◽  
Approximate Solutions ◽  
Kernel Space ◽  
Reproducing Kernel Space ◽  
True Solution ◽  
Integro Differential Equation ◽  
Analysis Of Stability ◽  
Space Method

We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution, we can find that the method can effectively solve the linear Fredholm integro-differential equation. At the same time the numerical solution of the equation is stable.

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