A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations
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DOI: 10.1007/s10444-020-09758-2
Abstract: In this paper, a conservative compact finite difference scheme is presented to numerically solve the coupled Schrödinger-KdV equations. The analytic solutions of the coupled equations have some invariants such as the number of plasmons, the… read more here.
Keywords: conservative compact; scheme; difference scheme; compact finite ... See more keywords
The Conservative Time High-Order AVF Compact Finite Difference Schemes for Two-Dimensional Variable Coefficient Acoustic Wave Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-019-00983-6
Abstract: In this paper, we develop and analyze the energy conservative time high-order AVF compact finite difference methods for variable coefficient acoustic wave equations in two dimensions. We first derive out an infinite-dimensional Hamiltonian system for… read more here.
Keywords: order; order avf; compact finite; avf compact ... See more keywords
High-Order Compact Finite Difference Scheme for Pricing Asian Option with Moving Boundary Condition
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DOI: 10.1007/s12591-017-0372-8
Abstract: In this paper, an unconditionally stable compact finite difference scheme for the solution of linear convection–diffusion equation is proposed. In the proposed scheme, second derivative approximations of the unknowns are eliminated with the unknowns itself… read more here.
Keywords: order; scheme; finite difference; difference scheme ... See more keywords
Compact finite difference relaxation method for chaotic and hyperchaotic initial value systems
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DOI: 10.1007/s40314-018-0624-4
Abstract: In this paper, we present a new application of higher order compact finite differences to solve nonlinear initial value problems exhibiting chaotic behaviour. The method involves dividing the domain of the problem into multiple sub-domains,… read more here.
Keywords: finite difference; compact finite; method; relaxation method ... See more keywords
Study of optical modal index for semi conductor rib wave guides using higher order compact finite difference method
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DOI: 10.1016/j.ijleo.2016.12.002
Abstract: Abstract In this paper, a higher order compact finite difference method in combination with conjugate gradient iteration scheme has been used for optical modal index study of four different semi conductor rib wave guide structures… read more here.
Keywords: order compact; higher order; method; compact finite ... See more keywords
Three semi-implicit compact finite difference schemes for the nonlinear partial integro-differential equation arising from viscoelasticity
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Modelling and Simulation"
DOI: 10.1080/02286203.2020.1720566
Abstract: ABSTRACT Three semi-implicit compact finite difference schemes are described for the nonlinear partial integro-differential equation arising from viscoelasticity. In our methods, the time derivative is approximated by the backward-Euler, Crank–Nicolson-type and formally second-order backward differentiation… read more here.
Keywords: difference; three semi; compact finite; finite difference ... See more keywords
Construction of invariant compact finite-difference schemes.
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DOI: 10.1103/physreve.101.023303
Abstract: In this paper we propose a method, which is based on equivariant moving frames, for development of high-order accurate invariant compact finite-difference schemes that preserve Lie symmetries of underlying partial differential equations. In this method,… read more here.
Keywords: invariant compact; difference schemes; symmetry; finite difference ... See more keywords
A new compact finite difference quasilinearization method for nonlinear evolution partial differential equations
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DOI: 10.1515/math-2017-0118
Abstract: Abstract This article presents a new method of solving partial differential equations. The method is an improvement of the previously reported compact finite difference quasilinearization method (CFDQLM) which is a combination of compact finite difference… read more here.
Keywords: partial differential; method; compact finite; differential equations ... See more keywords