Modification of finite differences method with use of Taylor expansions

Modification of finite differences method with use of Taylor expansions

The conducted research compares the method of Taylor expansions and the finite difference method. The obtained method of Taylor expansions employs three, four and five series terms. For each modification a finite difference scheme is presented and its stability, convergence, and approximation are analyz...

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Bibliographic Details
Main Authors: Galina A Pavlova, Irina V Belyaeva
Format: Article
Language:English
Published: Samara State Technical University 2012-09-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
ordinary differential equations
boundary value problem
taylor series
approximation
stability
convergence
finite difference method
method of taylor expansions
numerical method
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/20863/17122

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https://journals.eco-vector.com/1991-8615/article/viewFile/20863/17122

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