solving equation using B-spline
Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation
... KdV equation by using a new approach by combining cubic B-spline ...KdV equation to system of two ...stable using von-Neumann ...
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A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations
... type equation have been obtained by writing this equation as a Volterra integral equation and assuming that the nonlinearities are sufficiently ...differential equation or transforming it into ...
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A numerical algorithm based on modified extended B spline functions for solving time fractional diffusion wave equation involving reaction and damping terms
... The study of exact and approximate solutions of differential/integral equations has al- ways remained an attractive area of research. The existence and behavior of unique solu- tions for some fractional-order quadratic ...
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Numerical studies of non-local hyperbolic partial differential equations using collocation methods
... our equation such as, Ang solved the problem using a scheme based on an integro-differential equation and local interpolating functions ...Then, B-spline functions were found to be an ...
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Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets
... cubic B-spline wavelets for solving fractional integro-differential equations is ...integro-differential equation to system of algebraic ...
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Numerical solution of time fractional nonlinear Schrodinger equation arising in quantum mechanics by cubic B-spline finite elements
... for solving both ordinary and partial differential ...differential equation, namely time fractional telegraph ...cubic B-spline finite element method to obtain the numerical solutions of the ...
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B-spline Method for Solving Fredholm Integral Equations of the First Kind
... integral equation is a special kind of the inverse ...integral equation to solve the problem of computing. Fredholm integral equation of the first kind is one of the inverse problems that arise in ...
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Solution and interpolation of one-dimensional heat equation by using cran-nicolson, Cubic Spline and Cubic B-Spline
... Crank-Nicolson is a finite difference method for numerical solving heat equation and similar partial differential equation. It is an implicit method which was developed by John Crank and Phyllis ...
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Cubic B-spline Collocation Method for One-Dimensional Heat Equation
... cubic B-spline collocation method is used [7, 9, 10] for solving the heat equation (1) and the solutions are compared with the exact ...the B-spline method and uniform ...
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Solving a nonlinear inverse system of Burgers equations
... techniques using various transformations to reduce the equation to the simpler ...cubic B-splines collocation method does not require extra effort to deal with the nonlinear ...work, using ...
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Combine of B-Spline Galerkin Schemes with Change Weight Function
... of B-splines Galerkin method takes withweight function from type M-1 of B- splines, where M is integer number, for solving the modified equal width (MEW) wave equation,compared with analytic ...
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Septic B Spline Collocation Method for the Numerical Solution of the Modified Equal Width Wave Equation
... 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 solutions of the ...
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Approximate solution of linear Volterra integro differential equation by using cubic B spline finite element method in the complex plane
... linear B-spline finite element method (LBS-FEM) and cubic B- spline finite element method (CBS-FEM) for solving and obtaining numerical solutions of Volterra integro-differential equations ...
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The Numerical Solution of the MRLW Equation Using the Multigrid Method
... 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 ...MRLW equation using quintic ...
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Solving damped wave equation using finite difference method and interpolation using cubic B-spline
... simplest example of parabolic equation is heat equation. Hyperbolic equations arise in wave mechanic, gas dynamics, vibrations and other areas [3]. The most frequent hyperbolic equation that always ...
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1. A B-Spline-SSPRK54 method for advection-diffusion processes
... for solving the Burgers equation for some reasons: the Burgers equation takes into account both nonlinear advection and dissipation terms for simulating the physical behavior of wave motion and its ...
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A NUMERICAL APPROACH TO CAUDREY DODD GIBBON EQUATION VIA COLLOCATION METHOD USING QUINTIC B-SPLINE BASIS
... quintic B-spline ...algebraic equation systems is formulated easily. Solving the system iteratively by a method results in numerical solutions of the CDG ...
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Spherical Spline Solution of the Heat Equation
... the solution to the equation (1). Section 2 is devoted to the development of the spherical harmonics expansion of the so- lution. We estimate an L 2 error bound for the approximation of the solution by partial ...
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Numerical Solution of Obstacle Problems by B Spline Functions
... cubic spline methods for solving (5)-(6) and compared his numerical results with other available results given in ...cubic spline method gives much better results than those produced by other methods ...
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On the Performance of Haar Wavelet Approach for Boundary Value Problems and Systems of Fredholm Integral Equations
... Many applications in scientific fields such as physical and engineering problems can be formulated as integral equations or as differential equations. Differential equations can be reformulated in the form of integral ...
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