A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE | Zendy

Ghulam Mustafa | Zendy; Syeda Tehmina Ejaz | Zendy

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A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE

Author(s) -

Ghulam Mustafa,

Syeda Tehmina Ejaz

Publication year - 2017

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2017059

Subject(s) - subdivision , mathematics , singular boundary method , orthogonal collocation , boundary value problem , collocation (remote sensing) , collocation method , convergence (economics) , mathematical analysis , boundary element method , finite element method , computer science , ordinary differential equation , differential equation , physics , archaeology , machine learning , economic growth , economics , history , thermodynamics

In this paper, we propose a method for the numerical solution of self adjoint singularly perturbed third order boundary value problems in which the highest order derivative is multiplied by a small parameter ε. In this method, first we introduce the derivatives of two scale relations satisfied by the subdivision schemes. After that we use these derivatives to construct the subdivision collocation method for the numerical solution of singularly perturbed boundary value problems. Convergence of the subdivision collocation method is also discussed. Numerical examples are presented to illustrate the proposed method.

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