scholarly journals Numerical solution of high-order linear integro differential equations with variable coefficients using two proposed schemes for rational Chebyshev functions

2016 ◽  
Vol 4 (3) ◽  
pp. 22-22 ◽  
Author(s):  
Mohamed Ramadan ◽  
Kamal Raslan ◽  
Adel Hadhoud ◽  
Mahmoud Nassar
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Variable Coefficients ◽  
High Order ◽  
Order Linear ◽  
Rational Chebyshev Functions ◽  
Rational Chebyshev ◽  
Chebyshev Functions

Solving systems of high-order linear ordinary differential equations with variable coefficients by means of exponential Chebyshev collocation method

2017 ◽  
Vol 8 (1-2) ◽  
pp. 40 ◽  
Author(s):  
Mohamed Ramadan ◽  
Kamal Raslan ◽  
Talaat El Danaf ◽  
Mohamed A. Abd Elsalam
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Collocation Method ◽  
Variable Coefficients ◽  
High Order ◽  
Matrix Equations ◽  
Algebraic Equations ◽  
Order Linear ◽  
Linear Ordinary Differential Equations ◽  
Linear Algebraic Equations

The purpose of this paper is to investigate the use of exponential Chebyshev (EC) collocation method for solving systems of high-order linear ordinary differential equations with variable coefficients with new scheme, using the EC collocation method in unbounded domains. The EC functions approach deals directly with infinite boundaries without singularities. The method transforms the system of differential equations and the given conditions to block matrix equations with unknown EC coefficients. By means of the obtained matrix equations, a new system of equations which corresponds to the system of linear algebraic equations is gained. Numerical examples are given to illustrative the validity and applicability of the method.

scholarly journals APL and the numerical solution of high‐order linear differential equations

1983 ◽  
Vol 51 (8) ◽  
pp. 743-746
Author(s):  
Neil A. Gershenfeld ◽  
Edward H. Schadler ◽  
O. M. Bilaniuk
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
High Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Linear Differential
Sign in / Sign up

Export Citation Format

Share Document