Abstract
In this paper, a new nonpolynomial spline scheme based on intermediate stencils for the numerical solution of nonlinear two point boundary value problems is considered. The scheme is compact and applicable to both singular and nonsingular equations. The new scheme can achieve fourth-order accuracy and provides rapidly convergent solution. The convergence analysis of the present method is briefly discussed. Numerical results are shown in terms of maximum absolute errors. The computational illustrations demonstrate reliability, simplicity and efficiency of the proposed method.
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Jha, N. (2015). An Intermediate Nonpolynomial Spline Algorithm for Second Order Nonlinear Differential Problems: Applications to Physiology and Thermal Explosion. In: Das, K., Deep, K., Pant, M., Bansal, J., Nagar, A. (eds) Proceedings of Fourth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 336. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2220-0_52
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DOI: https://doi.org/10.1007/978-81-322-2220-0_52
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