A class of continuous methods for general second order initial value problems in ordinary differential equations
In this paper we propose a class of continuous methods for the solution of initial value problems of general second order ordinary differential equations . The procedure which yields a solution matrix equation for different stepnumber k≥2 is based on collocation of the differential systems at the gr...
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| Veröffentlicht in: | International journal of computer mathematics 1999-01, Vol.72 (1), p.29-37 |
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| container_title | International journal of computer mathematics |
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| creator | Awoyemi, D. O. |
| description | In this paper we propose a class of continuous methods for the solution of initial value problems of general second order ordinary differential equations
. The procedure which yields a solution matrix equation for different stepnumber k≥2 is based on collocation of the differential systems at the grid points. For n=2, three discrete schemes of order four for k=2 and k=3, and of order five for k=4 are recovered from the methods. Numerical examples are given to demonstrate and compare the efficiency of the methods for the stepnumbers k=2 and k=3 respectively. |
| doi_str_mv | 10.1080/00207169908804832 |
| format | Article |
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| source | Taylor & Francis Journals Complete |
| subjects | 2nd order ODE Collocation Exact sciences and technology G1.7 Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use |
| title | A class of continuous methods for general second order initial value problems in ordinary differential equations |
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