DIRECTLY SOLVING SECOND ORDER LINEAR BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS
| Autor: | R. Abdelrahim, Z. Omar |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Applied Mathematics
General Mathematics Mathematical analysis Reduction of order 010103 numerical & computational mathematics Mixed boundary condition Boundary knot method Singular boundary method 01 natural sciences 010101 applied mathematics Shooting method Ordinary differential equation Initial value problem Boundary value problem 0101 mathematics Mathematics |
| Zdroj: | International Journal of Pure and Apllied Mathematics. 106 |
| ISSN: | 1314-3395 1311-8080 |
| DOI: | 10.12732/ijpam.v106i3.10 |
| Popis: | In this article, boundary value problems of second order linear ordinary differen- tial equations are solved directly using hybrid block one-step method. Power series of order six is adopted as basis function to derive this method through collocation and interpolation approach. Shooting method is employed to transform boundary value problem into initial value problem. Then hybrid block one step is used to approximate the solution. The perfor- mance of the new method is shown by solving some boundary value problems examined by previous methods. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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