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View article: A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation
A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation Open
In this study, a new algorithm is introduced for the numerical solution of equal width (EW) equation. This algorithm is created by using the collocation finite element method based on decic B-spline functions for the space discretization o…
View article: Galerkin methods for the numerical solution of the Schrödinger equation by using trigonometric B-splines
Galerkin methods for the numerical solution of the Schrödinger equation by using trigonometric B-splines Open
This paper includes four finite element methods which are based on quadratic, cubic, quartic and quintic trigonometric B-spline functions for space discretization and Crank-Nicolson method for time discretization, to be achieved the numeri…
View article: A High-Order Accurate Numerical Algorithm for the Numerical Solution of Burgers’ Equation
A High-Order Accurate Numerical Algorithm for the Numerical Solution of Burgers’ Equation Open
In this study, a high accurate numerical solution of the Burgers’ equation is obtained. For this, the collocation method based on quintic B-spline functions for space discretization and the fourth-order single step method for time discreti…
View article: Numerical solution of modified regularized long wave equation by using cubic trigonometric B-spline functions
Numerical solution of modified regularized long wave equation by using cubic trigonometric B-spline functions Open
In this study, the Modified Regularized Long Wave (MRLW) equation is solved numerically. The method used for the numerical solution of MRLW equation includes the space discretization with the Galerkin finite element method based on cubic t…
View article: A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS
A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS Open
In this paper, numerical solution of theadvection-diffusion equation is obtained by using extended cubic B-splinefunctions. For space discretization, the extended cubic B-spline Galerkinmethod is used to integrate the advection-diffusion e…
View article: Wave Propagation by Way of Exponential B-Spline Galerkin Method
Wave Propagation by Way of Exponential B-Spline Galerkin Method Open
In this paper, the exponential B-spline Galerkin \ method is set up for getting the numerical solution of the Burgers' equation. Two numerical examples\ related to shock wave propogation and travelling wave are studied to illustrate the ac…
View article: Galerkin Method for the numerical solution of the advection-diffusion\n equation by using exponential B-splines
Galerkin Method for the numerical solution of the advection-diffusion\n equation by using exponential B-splines Open
In this paper, the exponential B-spline functions are used for the numerical\nsolution of the advection-diffusion equation. Two numerical examples\\ related\nto pure advection in a finitely long channel and the distribution of an initial\n…
View article: Galerkin Method for the numerical solution of the advection-diffusion equation by using exponential B-splines
Galerkin Method for the numerical solution of the advection-diffusion equation by using exponential B-splines Open
In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples\ related to pure advection in a finitely long channel and the distribution of an initial Gaus…
View article: Galerkin method for the numerical solution of the Burgers' equation by using exponential B-splines
Galerkin method for the numerical solution of the Burgers' equation by using exponential B-splines Open
In this paper, the exponential B-spline Galerkin \ method is set up for getting the numerical solution of the Burgers' equation. Two numerical examples\ related to shock wave propogation and travelling wave are studied to illustrate the ac…