Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm

In this paper, we present a method using qd-algorithm combined with finite difference method for numerically solving singular boundary value problems for certain ordinary differential equation having singular coefficients. (We can also use qd-algorithm combined with other numerical methods.) These p...

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Vydáno v:	Journal of computational and applied mathematics Ročník 233; číslo 2; s. 420 - 436
Hlavní autoři:	Allouche, H., Marhraoui, N.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Kidlington Elsevier B.V 15.11.2009 Elsevier
Témata:	Boundary value problems Degenerate problems Exact sciences and technology Finite difference scheme Formally orthogonal Hadamard polynomials Fröbenius method Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Pole detection qd-Algorithm Sciences and techniques of general use Singularity 65L06 Singularity Boundary value problems 65L07 Degenerate problems Fröbenius method Finite difference scheme Formally orthogonal Hadamard polynomials 65L Except 65L05 65L70 65L80 65L20 65L12 Pole detection qd-Algorithm Difference scheme Differential equation Singular equation Singular value Numerical method Partial differential equation Numerical solution Initial value problem Regular solution Algorithm Orthogonal polynomial Degenerate equation Numerical analysis Boundary value problem Applied mathematics Problem solving Finite difference method
ISSN:	0377-0427, 1879-1778
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