In this paper, a new algorithm based on non-polynomial spline is developed for the solution of higher order boundary value problems(BVPs). Employment of the method is done by decomposing the higher order BVP into a system of third order BVPs. Convergence analysis of the developed method is also discussed. The method is tested on higher order linear as well as non-linear BVPs which shows the accuracy and efficiency of the method and also compared our results with some existing fourth order methods.
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Khan, S., & Khan, A. (2023). Non-polynomial cubic spline method for solution of higher order boundary value problems. Computational Methods for Differential Equations, 11(2), 225-240. doi: 10.22034/cmde.2022.49827.2072
MLA
Shahna Khan; Arshad Khan. "Non-polynomial cubic spline method for solution of higher order boundary value problems". Computational Methods for Differential Equations, 11, 2, 2023, 225-240. doi: 10.22034/cmde.2022.49827.2072
HARVARD
Khan, S., Khan, A. (2023). 'Non-polynomial cubic spline method for solution of higher order boundary value problems', Computational Methods for Differential Equations, 11(2), pp. 225-240. doi: 10.22034/cmde.2022.49827.2072
VANCOUVER
Khan, S., Khan, A. Non-polynomial cubic spline method for solution of higher order boundary value problems. Computational Methods for Differential Equations, 2023; 11(2): 225-240. doi: 10.22034/cmde.2022.49827.2072
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