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2016•Journal of Applied Mathematics and PhysicsOpen access

Tau-Collocation Approximation Approach for Solving First and Second Order Ordinary Differential Equations

Ebimene James Mamadu, Ignatius Nkonyeasua Njoseh

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Abstract

This paper presents Tau-collocation approximation approach for solving first and second orders ordinary differential equations. We use the method in the stimulation of numerical techniques for the approximate solution of linear initial value problems (IVP) in first and second order ordinary differential equations. The resulting numerical evidences show the method is adequate and effective.

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What this paper is about

This paper presents Tau-collocation approximation approach for solving first and second orders ordinary differential equations. We use the method in the stimulation of numerical techniques for the approximate solution of linear initial value problems (IVP) in first and second order ordinary differential equations. The resulting numerical evidences show the method is adequate and effective.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper presents Tau-collocation approximation approach for solving first and second orders ordinary differential equations. We use the method in the stimulation of numerical techniques for the approximate solution of linear initial value problems (IVP) in first and second order ordinary differential equations. The resulting numerical evidences show the method is adequate and effective.

Key concepts: Collocation method, Ordinary differential equation, Collocation (remote sensing), Orthogonal collocation, Mathematics, Exponential integrator, Numerical partial differential equations, Initial value problem

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