Abstract
We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithm is stable and convergent and gives more accurate results than fourth-degree B-spline algorithm.
Highlights
Many problems in physics, chemistry, and engineering science are demonstrated mathematically by third-order boundary value problems
We use subdivision based collocation algorithm to find the solution of some nonlinear third-order boundary value problems
We present numerical results in table format along with their graphical representations
Summary
Chemistry, and engineering science are demonstrated mathematically by third-order boundary value problems. Caglar et al [5] solved third-order linear and nonlinear boundary value problems by using fourthdegree B-splines. Ejaz et al [10] solved two-point fourth-order linear boundary value problem by subdivision based method. Higher order linear and nonlinear problems are not solved by subdivision techniques until now. This motivates us to solve nonlinear third-order boundary value problems by subdivision schemes based collocation iterative algorithms.
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