SIAM Journal on Scientific Computing
Shifted-Chebyshev series solutions of Takagi-Sugeno fuzzy-model-based dynamic equations
Mathematics and Computers in Simulation
International Journal of Systems Science
A numerical approach to nonlinear two-point boundary value problems for ODEs
Computers & Mathematics with Applications
Numerical solutions for constrained time-delayed optimal control problems
International Journal of Computer Mathematics
International Journal of Computer Mathematics
Chebyshev finite difference method for Fredholm integro-differential equation
International Journal of Computer Mathematics
A Chebyshev spectral collocation method for solving Burgers'-type equations
Journal of Computational and Applied Mathematics
A smart nonstandard finite difference scheme for second order nonlinear boundary value problems
Journal of Computational Physics
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This paper presents a numerical technique for solving linear and non-linear boundary value problems for ordinary differential equations. This technique is based on using matrix operator expressions which applies to the differential terms. It can be regarded as a non-uniform finite difference scheme. The values of the dependent variable at the Gauss-Lobatto points are the unknown one solves for. The application of the method to boundary value problems leads to algebraic systems. The method permits the application of iterative method in order to solve the algebraic systems. The effective application of the method is demonstrated by four examples.