A Self-Starting First Order Initial Value Problems Solver
نویسندگان
چکیده
This paper focuses on the construction of continuous approximation scheme for the solution of first order initial value problems in ordinary differential equations. We exploit here the elegant properties of the Chebyshev polynomials and derive from the continuous scheme, an implicit hybrid block method through some selected points. The self-starting method was implemented on three test problems to show the accuracy and effectiveness of the method.
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