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Quasi-linearized B-spline collocation method for coupled nonlinear boundary value problems

Publication Type : Journal Article

Publisher : Journal of Physics: Conference Series

Source : Journal of Physics: Conference Series, Volume 1139, p.012083 (2018)

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Keywords : B-spline, Collocationmethod, Nonlinear boundary value problems, Quasilinearization

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2018

Abstract : A collocation method with B-splines as shape functions is introduced to solve acoupled system of nonlinear boundary value problems in four unknowns and four equations.The proposed method uses the quasilinearization technique to linearize the nonlinear problems.Based on the order of derivative of each unknown in the given system, the approximation ofeach unknown is expressed as linear combination of B-spline functions of different degree. Uponimposing the boundary conditions to these approximations the shape functions take a new form.With the revised approximation collocation method is implemented for the linearized system.To test the efficiency of the method a real time problem from literature is considered and solvedby the proposed method. Results obtained by the proposed method are in good agreement withthe actual one

Cite this Research Publication : C. Dhivya and Murali Krishna Panthangi, “Quasi-linearized B-spline collocation method for coupled nonlinear boundary value problems”, Journal of Physics: Conference Series, vol. 1139, p. 012083, 2018.

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