Septic B-Spline Solution of Fifth-Order Boundary Value Problems

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DOI: 10.4236/jamp.2016.48149    1,716 Downloads   2,764 Views  Citations
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ABSTRACT

A numerical method based on septic B-spline function is presented for the solution of linear and nonlinear fifth-order boundary value problems. The method is fourth order convergent. We use the quesilinearization technique to reduce the nonlinear problems to linear problems and use B-spline collocation method, which leads to a seven nonzero bands linear system. Illustrative example is included to demonstrate the validity and applicability of the proposed techniques.

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Lin, B. (2016) Septic B-Spline Solution of Fifth-Order Boundary Value Problems. Journal of Applied Mathematics and Physics, 4, 1446-1454. doi: 10.4236/jamp.2016.48149.

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