Spline Collocation
Numerical Solution to Euler–Cauchy Equation with Neumann Boundary Conditions Using B-Spline Collocation Method
... .In collocation method, the assumed approximate solution is made it exact at some nodal points by equating residue zero at that particular ...B-spline collocation method whereas the base functions ...
6
B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS
... B-spline collocation methods are economical alternative ways for solving boundary value problems since they only require the evaluation of the unknown parameters at the grid ...B- spline basis ...
12
A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation
... Fractional equations can be used to describe some physical phenomenon more accurately than the classical integer-order differential equation, one of which fractional reaction– diffusion equations have been researched in ...
23
An exponential B spline collocation method for the fractional sub diffusion equation
... quadratic spline collocation method for the fractional sub-diffusion equation [], where the convergence under L ∞ -norm was ana- ...B-spline collocation method [], whose stability was ...
17
Design of passive suspension system with non-linear springs using b-spline collocation method
... of spline collocation methods used specifically for boundary value ...orthogonal spline colocation method in relation to non-linear vibration ...
91
Vector Mode Analysis of Optical Waveguides by Quadratic Spline Collocation Method
... Abstract—We present an accurate, efficient numerical analysis for vector modes of dielectric optical waveguide structures with an arbitrary refractive index profile using a quadratic spline collocation ...
11
Septic B Spline Collocation Method for the Numerical Solution of the Modified Equal Width Wave Equation
... in collocation method, of the modified equal width wave (MEW) equation, which was introduced by Morrison et ...B-spline collocation method [10]. A solution based on a collocation method ...
11
Cubic B-spline Collocation Method for One-Dimensional Heat Equation
... In this study the cubic B-spline collocation method is used [7, 9, 10] for solving the heat equation (1) and the solutions are compared with the exact solution. In the section two, we have given the ...
8
EXTENDED B-SPLINE COLLOCATION METHOD FOR KDV-BURGERS EQUATION
... system of equations. The space discretization of this system is accomplished by the collocation method following the time discretization with Crank-Nicolson method. Two initial boundary value problems, one having ...
12
EXPONENTIAL B-SPLINE COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF ONE-SPACE DIMENSIONAL NONLINEAR WAVE EQUATION WITH STRONG STABILITY PRESERVING TIME INTEGRATION
... the collocation method based on exponential B-spline basis functions to solve some benchmark nonlinear wave ...B-spline collocation method is used to discretize the equations spatially which ...
12
Application of the b-spline collocation method to a geometrically non-linear beam problem
... B-spline collocation method with the smoothest open-uniform knot vector, orthogonal collocation points and Greville Abscissa for the control points to get the solution for the axial stretching of a ...
134
Trigonometric Cubic B-spline Collocation Method for Solitons of the Klein-Gordon Equation
... B-spline collocation algorithm to solve some initial boundary value problems for the nonlinear Klein-Gordon ...The collocation approximation based on trigonometric cubic B-splines for spatial ...
15
Ninth Degree B-spline Collocation Method for Numerical Solution of the Ninth Order Linear Differential Equation
... B-spline collocation method the approximate solution is written as the linear combination of ninth degree B-spline basis functions for the approximation space under ...the collocation method ...
6
B Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems
... The numerical results show clearly the effect of ε on the boundary layer and the B-spline collocation method solving singular boundary value problems is relatively simple to collocate the solution at the ...
6
Spline Collocation Method for solving Burgers equation in Fluid Dynamic
... paper, Spline collocation method is employed to approximate the solution of Burgers equation, which is a one-dimensional non-linear partial differential equation in fluid ...the Spline ...
5
A spline collocation method for integrating a class of chemical reactor equations
... quadratic spline collocation approach is prosed in the context to be used for reducing a nonlinear PDEs plug flow reactors models for numerical simulation and/or control ...quadratic spline ...
12
A fourth order non polynomial quintic spline collocation technique for solving time fractional superdiffusion equations
... a spline collocation approach for numerical solution of fourth order time fractional superdiffusion ...quintic spline interpolant, composed of trigonometric and polynomial components, is ...
21
A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations
... of spline functions is very active field of approximation theory, boundary value problems and partial differential equations, when numerical aspects are ...polynomial spline has been received the greatest ...
20
Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation
... Abstract In the present article, a numerical method is proposed for the numerical solution of the KdV equation by using a new approach by combining cubic B-spline functions. In this paper we convert the KdV ...
14
Quartic B Spline Collocation Method for Fifth Order Boundary Value Problems
... the collocation method has been ...the collocation method with quartic B-splines as basis functions has been presented and in section 5, solution procedure to find the nodal parameters is ...
6