Nonlinear methods in solving ordinary differential equations
β Scribed by A. Wambecq
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 392 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0377-0427
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## Abstract A numerical method for solving twoβpoint boundary value problems associated with systems of firstβorder nonlinear ordinary differential equations is described. It needs three function evaluations for each subβinterval and is of order O(__h__^7^), where __h__ is the space chop. Results o
Runge-Kutta formulas are given which are suited to the tasks arising in simulation. They are methods permitting interpolation which use overlap into the succeeding step to reduce the cost of a step and its error estimate.
Based on the idea of quasi-interpolation and radial basis functions approximation, a numerical method is developed to quasi-interpolate the forcing term of di erential equations by using radial basis functions. A highly accurate approximation for the solution can then be obtained by solving the corr