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2017•Journal of Emerging Technologies and Innovative ResearchRequires access

REVIEW ON ORTHOGONAL COLLOCATION METHOD FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS

Rajiv Jain, Nisha Gupta

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Abstract

In this paper, the orthogonal collocation method is reviewed and used to solve the second order ordinary differential problems numerically. The trial function used here is discretized using Lagrange’s interpolating polynomials. The collocation points used are the roots of Jacobi polynomial P_n^(α, β) at = β=0 . The results obtained from the method, is compared with results obtained from bvp4c solver in MATLAB.

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What this paper is about

In this paper, the orthogonal collocation method is reviewed and used to solve the second order ordinary differential problems numerically. The trial function used here is discretized using Lagrange’s interpolating polynomials. The collocation points used are the roots of Jacobi polynomial P_n^(α, β) at = β=0 . The results obtained from the method, is compared with results obtained from bvp4c solver in MATLAB.

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Available abstract

In this paper, the orthogonal collocation method is reviewed and used to solve the second order ordinary differential problems numerically. The trial function used here is discretized using Lagrange’s interpolating polynomials. The collocation points used are the roots of Jacobi polynomial P_n^(α, β) at = β=0 . The results obtained from the method, is compared with results obtained from bvp4c solver in MATLAB.

Key concepts: Orthogonal collocation, Collocation (remote sensing), Collocation method, Ordinary differential equation, Mathematics, Solver, Orthogonal polynomials, Discretization

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