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Energy preserving integration of the strongly coupled nonlinear Schrodinger equation
(Amer Inst Physics, 2 Huntington Quadrangle, Ste 1No1, Melville, Ny 11747-4501 USA, 2015)
In this paper, average vector field method (AVF) is derived for strongly coupled Schrodinger equation (SCNLS). The SCNLS equation is discretized in space by finite differences and is solved in time by structure preserving ...
Non Polynomial Spline Solution for a Fourth Order Non Homegeneous Parabolic Partial Differential Equation with a Seperated Boundary
(2012)
In this paper, a fourth-order non-homogeneous parabolic partial differential equation with initial and separated boundary conditions is solved by using a non-polynomial spline method. In the solution of the problem, finite ...
The numerical solution of the singular two-point boundary value problems by using non-polynomial spline functions
(2010)
The non-polynomial spline method is proposed to solve a singular boundary value problems. Some
model problems are solved and the numerical results are compared with B-spline approximation and the exact
solution. Results ...