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Khan, Shahna, Khan, Arshad. (1402). Non-polynomial cubic spline method for solution of higher order boundary value problems. سامانه مدیریت نشریات علمی, 11(2), 225-240. doi: 10.22034/cmde.2022.49827.2072
Shahna Khan; Arshad Khan. "Non-polynomial cubic spline method for solution of higher order boundary value problems". سامانه مدیریت نشریات علمی, 11, 2, 1402, 225-240. doi: 10.22034/cmde.2022.49827.2072
Khan, Shahna, Khan, Arshad. (1402). 'Non-polynomial cubic spline method for solution of higher order boundary value problems', سامانه مدیریت نشریات علمی, 11(2), pp. 225-240. doi: 10.22034/cmde.2022.49827.2072
Khan, Shahna, Khan, Arshad. Non-polynomial cubic spline method for solution of higher order boundary value problems. سامانه مدیریت نشریات علمی, 1402; 11(2): 225-240. doi: 10.22034/cmde.2022.49827.2072

Non-polynomial cubic spline method for solution of higher order boundary value problems

Computational Methods for Differential Equations
مقاله 2، دوره 11، شماره 2، تیر 2023، صفحه 225-240    اصل مقاله (352.85 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.49827.2072
نویسندگان
Shahna Khan* 1؛ Arshad Khan2
1Department of Mathematics, Sri Venkateswara College, University of Delhi, New Delhi-21, India.
2Department of Mathematics, Jamia Millia Islamia, New Delhi-25, India.
چکیده
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.
کلیدواژه‌ها
Non-polynomial spline؛ Higher-order؛ Non-linear؛ Convergence analysis؛ Boundary value problems
مراجع
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