Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation
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In this article, an application of the quartic trigonometric B-spline finite element method is used to solve the regularized long wave equation numerically, and the accuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exact solution.Abstract:
In this paper, an application of the quartic trigonometric B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method based on the quartic trigonometric B-spline function in space discretization together with second and fourth order schemes in time discretization. The accuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exact solution and some previous results.read more
Citations
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A Strang Splitting Approach Combined with Chebyshev Wavelets to Solve the Regularized Long-Wave Equation Numerically
TL;DR: In this article, a Strang splitting approach combined with Chebyshev wavelets has been used to obtain the numerical solutions of regularized long-wave (RLW) equation with various initial and boundary conditions.
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Trigonometric quintic B-spline collocation method for singularly perturbed turning point boundary value problems
TL;DR: A trigonometric quintic B-spline method is proposed for the solution of a class of turning point singularly perturbed boundary value problems (SP-BVPs) whose solution exhibits either twin boundary layers near both endpoints of the interval of consideration or an interior layer near the turning point.
Journal ArticleDOI
Galerkin approximation with quintic B-spline as basis and weight functions for solving second order coupled nonlinear Schrödinger equations
TL;DR: The Galerkin method, based on quintic B-spline function as the shape and weight functions is described for the numerical solution of the second order coupled nonlinear Schrodinger equations.
Journal ArticleDOI
Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation
TL;DR: In this article , the authors used Higher Order Haar wavelet method (HOHWM) and classical HWM to numerically solve the Regularized Long Wave (RLW) equation.
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A new spline algorithm for solving non-isothermal reaction diffusion model equations in a spherical catalyst and spherical biocatalyst
TL;DR: In this paper, a higher order quartic trigonometric B-spline collocation method on a uniform mesh for solving two special models of Lane-Emden boundary value problems is discussed.
References
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Journal ArticleDOI
Calculations of the development of an undular bore
TL;DR: In this paper, the growth of an undular bore from a long wave is described, which forms a gentle transition between a uniform flow and still water, and a physical account of its development is followed by the results of numerical calculations.
Journal ArticleDOI
Euler operators and conservation laws of the BBM equation
TL;DR: In this paper, the BBM or Regularized Long Wave Equation is shown to possess only three non-trivial independent conservation laws, and a new theory of Euler-type operators in the formal calculus of variations is developed in detail.
Journal ArticleDOI
A stable recurrence relation for trigonometric B-splines
Tom Lyche,R. Winther +1 more
TL;DR: In this article, it was shown that certain trigonometric B -splines satisfy a recurrence relation similar to the one for polynomial splines, and a trigonometric version of Marsden's identity is given.
Journal ArticleDOI
Galerkin method for the numerical solution of the RLW equation using quintic B-splines
İdris Dağ,Bülent Saka,Dursun Irk +2 more
TL;DR: In this paper, the regularized long wave equation (RLW) is solved numerically by using the quintic B-spline Galerkin finite element method and the same method is applied to the time-split RLW equation.
Journal ArticleDOI
Numerical solution of RLW equation using linear finite elements within Galerkin's method
TL;DR: In this article, the regularised long wave equation is solved by Galerkin's method using linear space finite elements, which is shown to have good accuracy for small amplitude waves.
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