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Article
Studying environmental and economic considerations on tourism activities in achieving sustainable development goals: implications for sustainability
The study aims to extend the understanding of environmental and economic considerations on tourism activities in achieving sustainable development goals. The motivation of the study is to provide the empirical...
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Article
Error Estimate of a Fully Discrete Local Discontinuous Galerkin Method for Variable-Order Time-Fractional Diffusion Equations
The aim of this paper is to develop a fully discrete local discontinuous Galerkin method to solve a class of variable-order fractional diffusion problems. The scheme is discretized by a weighted-shifted Grünwa...
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Article
A compact quadratic spline collocation method for the time-fractional Black–Scholes model
A compact quadratic spline collocation (QSC) method for the time-fractional Black–Scholes model governing European option pricing is presented. Firstly, after eliminating the convection term by an exponential ...
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Article
Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation
In this paper, we propose a second-order fast explicit operator splitting method for the phase field crystal equation. The basic idea lied in our method is to split the original problem into linear and nonline...
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Article
Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting method
In this paper, we consider a fast explicit operator splitting method for a fractional Cahn-Hilliard equation with spatial derivative ...
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Article
Error Analysis and Numerical Simulations of Strang Splitting Method for Space Fractional Nonlinear Schrödinger Equation
In this paper, we study a fast explicit operator splitting method for space fractional nonlinear Schrödinger equation in one (1D), two (2D) and three dimensions (3D) with periodic boundary conditions. The equa...
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Article
Investigations on several high-order ADI methods for time-space fractional diffusion equation
The paper is devoted to the construction of high-precision unconditionally stable finite difference methods for solving time-space fractional diffusion equation with the Caputo fractional derivative (of order β, ...
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Article
A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation
In this paper a family of fourth-order and sixth-order compact difference schemes for the three dimensional (3D) linear Poisson equation are derived in detail. By using finite volume (FV) method for derivation...