We present a sixth-order non-polynomial spline method for the solutions of two-point nonlinear boundary value problem u(4)+f(x,u)=0, u(a)=α1, u''(a)= α2, u(b)= β1,u''(b)= β2, in off step points. Numerical method of sixth-order with end conditions of the order 6 is derived. The convergence analysis of the method has been discussed. Numerical examples are presented to illustrate the applications of method, and to compare the computedresults with other known methods.
Jalilian, R. (2011). NON-POLYNOMIAL SPLINE SOLUTIONS FOR SPECIAL NONLINEAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS. International Journal of Mathematical Modelling & Computations, 1(2 (SPRING)), 135-147.
MLA
R. Jalilian. "NON-POLYNOMIAL SPLINE SOLUTIONS FOR SPECIAL NONLINEAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS". International Journal of Mathematical Modelling & Computations, 1, 2 (SPRING), 2011, 135-147.
HARVARD
Jalilian, R. (2011). 'NON-POLYNOMIAL SPLINE SOLUTIONS FOR SPECIAL NONLINEAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS', International Journal of Mathematical Modelling & Computations, 1(2 (SPRING)), pp. 135-147.
VANCOUVER
Jalilian, R. NON-POLYNOMIAL SPLINE SOLUTIONS FOR SPECIAL NONLINEAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS. International Journal of Mathematical Modelling & Computations, 2011; 1(2 (SPRING)): 135-147.