Application of non-polynomial spline to the solution of fifth-order boundary value problems in induction motor | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 23, Issue 1, 2015, Page 20-26 PDF (478.19 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1016/j.joems.2014.01.003 | ||||
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| Authors | ||||
| Shahid S. Siddiqi* ; Maasoomah Sadaf | ||||
| Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan | ||||
| Abstract | ||||
| Non-polynomial spline functions of the form Span{1, x, x2; x3; x4; x5; cosðkxÞ þ exg, where k can be real or pure imaginary, are used to find the numerical solution of linear fifth-order boundary value problems. The order of convergence of the method is observed to be of Oðh2 Þ. A fifth order convergent method is defined with the help of improved end-conditions. Three examples are considered to show the reliability and efficiency of the method. The numerical results, obtained, endorse the improved order of convergence of the method. | ||||
| Keywords | ||||
| Non-polynomial spline functions; Numerical solution; Fifth-order boundary value problem | ||||
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