New algorithms for solving odes by pseudospectral method
Copyright policy )New algorithms for solving odes by pseudospectral method
The paper applies results of \textit{M. T. Darvishi} and \textit{F. Ghoreishi} [ibid. 6, No. 2, 421-435 (1999; Zbl 0930.65051); Far East J. Math. Sci. (FJMS) 1, No. 2, 297-316 (1999; Zbl 0941.65014)] which compute higher derivatives for solving linear ordinary differential equations (ODEs) by using Chebyshev collocation methods with preconditioning, thus reducting the round-off errors. Three test examples are solved by an \(M\)-panel, \(P\)-point scheme \((M\cdot P= N)\) with and without preconditioning, and the results are compared with \(N\)-node schemes with and without preconditioning.
- Razi University Iran (Islamic Republic of)
Numerical solution of boundary value problems involving ordinary differential equations, differentiation matrix, numerical examples, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, pseudospectral method, Chebyshev collocation methods, higher derivatives, Numerical differentiation, domain decomposition, matrix vector multiplication, preconditioning, Linear boundary value problems for ordinary differential equations
Numerical solution of boundary value problems involving ordinary differential equations, differentiation matrix, numerical examples, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, pseudospectral method, Chebyshev collocation methods, higher derivatives, Numerical differentiation, domain decomposition, matrix vector multiplication, preconditioning, Linear boundary value problems for ordinary differential equations
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