A Backward Diffrention Formula For Third-Order Inttial or Boundary Values Problems Using Collocation Method
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Date
2021-09-19
Journal Title
Journal ISSN
Volume Title
Publisher
Islamic Azad University,Rasht ', Iran
Abstract
We propose a new self-starting sixth-order hybrid block linear
multistep method using backward differentiation formula for direct
solution of third-order differential equations with either initial
conditions or boundary conditions. The method used collocation and
interpolation techniques with three off-step points and five-step points,
choosing power series as the basis function. The convergence of the
method is established, and three numerical experiments of initial and
boundary value problems are used to demonstrate the efficiency of the
proposed method. The numerical results in Tables and Figures show the
efficiency of the method. Furthermore, the numerical method
outperformed the results from existing literature in terms of accuracy as
evident in the results of absolute errors produced
Description
A journal publication
Keywords
Initial Value problems, Boundary Value Problems, Third Order ODE, Backward Differentiation Formula, Hybrid Linear Multistep
Citation
Abdgafar Tunde Tiamiyu, Abosede Temilade Cole and Khadeejah James Audu (2021). A Backward Differentiation Formula for Third-Order Initial or Boundary Values Problems Using Collocation Method. Iranian Journal of Optimization, 13(2), 81-92.