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Flexible decision variables in multi-objective reservoir operation

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

This study explores optimal control in the case when certain input uncertainties cannot be well quantified. In these scenarios, the decision-maker pre......

A new reproducing kernel method for Duffing equations

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

Reproducing kernel theories have attracted much attention for solving various problems. However, discussions of stability and convergence order are ve......

A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

A nonlinear initial boundary value problem with a time Caputo derivative of fractional-order beta is an element of (1, 2) and a space Riesz derivative......

Characteristic mixed volume element for compressible two-phase displacement in porous media

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

Numerical simulation of a two-phase compressible displacement problem is considered in this paper, modelled by a nonlinear system of PDEs. Considering......

An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

We develop an indirect collocation method for a variable-order fractional wave equation. Fractional differential equations are well known to exhibit i......

Convergence analysis and error estimate of second-order implicit-explicit scheme for Gray-Scott model

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

In this paper, we propose a second-order implicit-explicit (IMEX) time-stepping scheme for the Gray-Scott (GS) model. In order to achieve a fast, stab......

Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schrodinger equations

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

We investigate the vector breather waves and higher-order rouge waves of the coupled higher-order nonlinear Schrodinger equations via the Darboux-dres......

A new numerical scheme for third-order singularly Emden-Fowler equations using quintic B-spline function

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

In this paper, we investigate a numerical scheme for the singular Emden-Fowler problem using quintic B-spline. We eliminate the singularity of the pro......

A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

A nonlinear fractional differential equation with Caputo fractional derivative is considered. The problem is discretized by an upwind finite differenc......

Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrodinger system with the negative coherent coupling in a weakly birefringent fibre

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

For a coupled nonlinear Schrodinger system with the negative coherent coupling, which describes two orthogonally polarized pulses in a weakly birefrin......

Three wave mixing effect in the (2+1)-dimensional Ito equation

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

The effect of three wave mixing in the (2 + 1)-dimensional Ito equation is investigated by the Hirota bilinear method and the long wave limit approach......

An efficient numerical method for pricing a Russian option with a finite time horizon

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

In this paper, we present a finite difference scheme for a linear complementarity problem with a mixed boundary condition arising from pricing a Russi......

Spectral method for multi-dimensional problems of high order on unbounded domains using generalized Laguerre functions

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

More and more attention has been paid to numerical methods for problems on unbounded domains. In this paper, a spectral method using generalized Lague......

Mass conservative characteristic finite difference method for convection-diffusion equations

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

In the paper, the space second-order conservative characteristic finite difference method for solving convection-diffusion equations is developed and ......

A noise-tolerant fast convergence ZNN for dynamic matrix inversion

期刊: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, ; ()

In this paper, a noise-tolerant fast convergence zeroing neural network (NTFCZNN) adopting a new power-versatile activation function (PVAF) is propose......

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