[PDF] Top 20 Cubic B-spline Collocation Method for One-Dimensional Heat Equation

... is one of the well-known second order parabolic linear partial differential equation [1, 3, ...The heat equation is a very important equation in physics and ...that heat ... See full document

... numerical method for solving the Burgers ...on collocation of the modified cubic B-splines basis functions in space ...this method has been verified by considering some test ...present ... See full document

... numerical method is proposed for the numerical solution of the KdV equation by using a new approach by combining cubic B-spline ...KdV equation to system of two equations. The ... See full document

... the equation to the simpler ...the cubic B-splines collocation method does not require extra effort to deal with the nonlinear ...using B-spline collocation ... See full document

... basis collocation methods with multiquadric (MQ), inverse quadric (IQ) and Gaussian (GA) forms in the study[25] at the time t = 1 and t = 10 is tabulated in Table ...proposed method based on the extended ... See full document

... sub-diffusion equation with the Neumann boundary ...spectral method was constructed by using the common L formula in time and a Legendre spectral ap- proximation in ...this method was extended to the ... See full document

... parabolic equation is heat ...hyperbolic equation that always discussed is one dimensional wave equation which is given by ... See full document

... numerical method is presented to approximate the solution of second order one- dimensional nonlinear wave ...The method is based on collocation of exponential ...Exponential ... See full document

... variables method and Adomian method for Gorguis A and Chan WKB, ...two-dimensional heat presented a fourth-order spline collocation method for the solution with ... See full document

... Such a problem can be appeared in mathematical modeling of some engineering and scientific systems that leads to a model by partial integro-differential equa- tions(PIDEs). The equations (1.1)-(1.3) can be appeared in the ... See full document

... ¨odinger equation which is frequently encountered in quantum mechanics by using cubic B-spline collocation ...proposed method, some sample problems have been studied in this ... See full document

... septic B-spline functions in collocation method, of the modified equal width wave (MEW) equation, which was introduced by Morrison et ...MEW equation are known. Thus numerical ... See full document

... Heat equation is part of partial differential equations where it supposes to be linear or non-linear ...of heat or variation in temperature in a given region over time. The heat ... See full document

... new B-spline technique namely trigono- metric B-spline collocation algorithm to solve some initial boundary value problems for the nonlinear Klein-Gordon ...implicit method, the ... See full document

... MRLW equation, with a limited set of boundary and initial conditions, have been existed, many authors are recently interested in the numerical solutions of this ...a collocation solution to the MRLW ... See full document

... exponential cubic B-spline and quantic B-spline had been developed to solve one- dimensional wave ...equation. B-spline functions had been used to ... See full document

... are B-spline basis functions, be the approximate global solution to the exact solution U (x ) of the considered nth order Euler- Cauchy’s differential equation ... See full document

... developed collocation method by using the ninth degree B-spline as basis function in collocation method is applied to ninth order linear differential equations with boundary ... See full document

... penalty method to approximate the obsta- cle problem by a sequence of second order boundary value ...a cubic spline to approximate the solution of the boundary ...Newton method. In Section 5 ... See full document

... element method. In this work, we use the linear B-spline finite element method (LBS-FEM) and cubic B-spline finite element method (CBS-FEM) for solving this ... See full document