[PDF] Top 20 Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

... at mid-knots of a uniform mesh, then a second-order interpolation is used to obtain the numerical solutions at the ...of second-order accuracy. Other proven second-order ... See full document

... Abstract. In this paper, we solve a linear system of second-order boundary value problems by using the quadratic B-spline finite el- ement method (FEM). The performance of ... See full document

... of cubic splines for the numerical solution of linear two point boundary value problems has been dis- cussed by Bickley [1], Fyfe [2], Albasiny and Hoskins [3] and Rubin and Khosla ...fourth ... See full document

... generalized non-polynomial cubic spline schemes of second- and third-order using a variable mesh for solving system of two point boundary value ... See full document

... to non-linear oscillators with discontinuities by He's [15], bifurcation of non-linear problems, periodic solution and bifurcations of delay-dierential equations, limit cycle [16, 17, 18], heat and ... See full document

... used non- polynomial spline functions approach to find the solution of differential ...the non- polynomial spline function to find the solution of the burgers ...on ... See full document

... some problems constructed with KdVB ...of system of second order boundary value problem were obtained using extended B-spline functions ... See full document

... initial boundary value problems for the nonlinear Klein-Gordon ...In order to carry out the time integration with Crank-Nicolson implicit method, the order of the equation is reduced to ... See full document

... of spline approximation or interpolation approaches the dependent variable y(x) is supposed to be piecewise polynomial which in- volves at least piecewise higher order derivatives of the function f ... See full document

... seventh order boundary value problems is not much available in the numerical analysis ...seventh order boundary value problems generally arise in modeling induction ... See full document

... parametric cubic spline technique and have shown that the their method gives approximations which are better than that produced by Al-Said method ...of second order boundary ... See full document

... world problems in applied ...a second order differential equation u = f (t, u, u ), one usually consid- ers impulses in the position u and the velocity u ...impulsive boundary value ... See full document

... the second order nonlinear boundary value ...the second order nonlinear boundary value problem on the semi-infinite interval [, ... See full document

... ABSTRACT A finite element method involving collocation method with quartic B-splines as basis functions have been developed to solve fifth order boundary value problems.. The fifth order[r] ... See full document

... and non-linear boundary value problems are ...nonlinear boundary value problem has been obtained as the limit of a sequence of solutions of linear boundary value ... See full document

... has problems. As it stands, the boundary condition ...“boundary value” problems with the “boundary value” prescribed in the interior of the interval, but this does not ... See full document

... the non-homogeneous fractional p-Laplacian equations of Schrödinger–Kirchhoff type was also considered in ...ary value problems driven by a combination of differential operators of different nature ... See full document

... , j = 0,1, . . . , n. (2.12) Using this spline function, we will derive the difference scheme in Section 3, which will give us the approximate solution of V (x). Since U (x) is known, therefore the solution to the ... See full document

... studying boundary value problems for nonlinear differential equations; see 1 and the references ...to boundary value problems of functional differential equations ...periodic ... See full document

... techniques, we study the global behavior of the components of nodal solutions of 1.8, 1.9 and give a positive answer to the above question. However, when m-point boundary value condition 1.9 is concerned, ... See full document