A numerical solution of variable order fractional functional differential equation based on the shifted Legendre polynomials

SeMA Journal ◽  
2018 ◽  
Vol 76 (2) ◽  
pp. 217-226 ◽  
Author(s):  
Reza Dehghan
Keyword(s):  
Differential Equation ◽  
Numerical Solution ◽  
Functional Differential Equation ◽  
Legendre Polynomials ◽  
Variable Order ◽  
Shifted Legendre Polynomials ◽  
Functional Differential ◽  
Fractional Functional

scholarly journals Heun Method Using to Solve System of NonLinear Functional Differential Equations

2007 ◽  
Vol 4 (4) ◽  
pp. 666-669
Author(s):  
Baghdad Science Journal
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Numerical Solution ◽  
Functional Differential Equation ◽  
Functional Differential Equations ◽  
Nonlinear Functional ◽  
Numerical Examples ◽  
Nonlinear Functional Differential Equation ◽  
First Order ◽  
Functional Differential

In this paper Heun method has been used to find numerical solution for first order nonlinear functional differential equation. Moreover, this method has been modified in order to treat system of nonlinear functional differential equations .two numerical examples are given for conciliated the results of this method.

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