An integro-collocation method for determining initial values for ordinary differential equations
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Date
2023
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Publisher
corpus intellectual
Abstract
The collocation method used to formulate an
integrated Lanczos Tau method for solving ordinary
differential equations with starting values is the subject
of this research. In order to uniquely determine the
coefficients of the approximant of the solution, an
algebraic system of linear equations is created by
collocating the perturbed integrated equation at
certain equally spaced intervals within the range of
integration of the differential equation. The method is
used to solve problems involving first- and second order ordinary differential equations, and data
collected from numerical analysis supports its
correctness and efficacy.