Fractal Quintic Spline Solutions for Fourth-Order Boundary-Value Problems
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A new numerical method is developed for approximating the solution of the fourth-order boundary-value problems with the help fractal quintic spline. The proposed method has second-order convergence. Numerical examples are experimented for the numerical illustration of the proposed method. It is shown that the method developed in this paper is more efficient than the method developed by the quintic spline.
KeywordsFractal quintic spline Boundary-value problem Truncation error
Mathematics Subject Classification28A80 65D07 34B05
The first author is grateful to the Ministry of Human Resource Development, India for providing the research fellowship and Indian Institute of Technology Guwahati, India for the support provided during the period of this work. The authors wish to acknowledge the referees for their valuable comments.