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.
Siddiqi, S. S., & Sadaf, M. (2015). Application of non-polynomial spline to the solution of fifth-order boundary value problems in induction motor. Journal of the Egyptian Mathematical Society, 23(1), 20-26. doi: 10.1016/j.joems.2014.01.003
MLA
Shahid S. Siddiqi; Maasoomah Sadaf. "Application of non-polynomial spline to the solution of fifth-order boundary value problems in induction motor", Journal of the Egyptian Mathematical Society, 23, 1, 2015, 20-26. doi: 10.1016/j.joems.2014.01.003
HARVARD
Siddiqi, S. S., Sadaf, M. (2015). 'Application of non-polynomial spline to the solution of fifth-order boundary value problems in induction motor', Journal of the Egyptian Mathematical Society, 23(1), pp. 20-26. doi: 10.1016/j.joems.2014.01.003
VANCOUVER
Siddiqi, S. S., Sadaf, M. Application of non-polynomial spline to the solution of fifth-order boundary value problems in induction motor. Journal of the Egyptian Mathematical Society, 2015; 23(1): 20-26. doi: 10.1016/j.joems.2014.01.003
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