A Step Block Algorithm for Solving First Order Initial Value Problems in Ordinary Differential Equations
Keyword(s):
One Step
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The implementation of the newly formulated polynomials, ADEM-B orthogonal polynomials, valid in the interval [-1, 1] with respect to weight function is our major focus in this work. The polynomials, which serve as basis function are employed to develop finite difference methods. Varying off-step points are considered for only One-Step method for the solution of the initial value problems of Ordinary Differential Equations (ODEs). By selection of points for both interpolation and collocation, threeimportant class of block finite difference methods are produced. The methods are analyzed for their basic properties and findings show that they are accurate and convergent.
2001 ◽
Vol 77
(3)
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pp. 457-467
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2016 ◽
Vol 99
(6)
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pp. 945-958
2015 ◽
Vol 104
(2)
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Keyword(s):
2003 ◽
pp. 161-188
Keyword(s):