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Singularly perturbed two-point boundary value problem by applying exponential fitted finite difference method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 The present study addresses an exponentially fitted finite difference method to obtain the solution of singularly perturbed two-point boundary value problems (BVPs) having a boundary layer at one end (left or right) point on uniform mesh.
N. Kumar, R. Kumar Sinha, R. Ranjan
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Differential difference inequalities related to parabolic functional differential equations [PDF]
Opuscula Mathematica, 2010 Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations.
Milena Netka
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The Never-Ending Quest for the European Fiscal Policy’s Objectives: Stability vs. Convergence or Stability and Convergence? [PDF]
Athens Journal of Business & Economics, 2021 The aim of this paper is to analyse the permanent struggle to define European fiscal policy objectives, hence to define the corresponding structure of such a policy.
Carlo Klein
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Entropy, 2022 In this paper, four stabilized methods based on the lowest equal-order finite element pair for the steady micropolar Navier–Stokes equations (MNSE) are presented, which are penalty, regular, multiscale enrichment, and local Gauss integration methods.
Jingnan Liu, Demin Liu
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AIMS Mathematics, 2022 In this paper, a new modified hybrid explicit group (MHEG) iterative method is presented for the efficient and accurate numerical solution of a time-fractional diffusion equation in two space dimensions.
Fouad Mohammad Salama +3 more
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Fast hybrid explicit group methods for solving 2D fractional advection-diffusion equation
AIMS Mathematics, 2022 In recent years, fractional partial differential equations (FPDEs) have been viewed as powerful mathematical tools for describing ample phenomena in various scientific disciplines and have been extensively researched. In this article, the hybrid explicit
Fouad Mohammad Salama +3 more
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The Natural Boundary Element Method of the Uniform Transmission Line Equation in 2D Unbounded Region
Mathematics, 2022 Herein, we are mainly concerned with the natural boundary element (NBE) method of the uniform transmission line (UTL) equation defined in the two-dimensional (2D) boundless region, which has a real physical background.
Fei Teng, Taiying Zhu, Zhixiong Jiang
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An accurate and efficient local one-dimensional method for the 3D acoustic wave equation
Demonstratio Mathematica, 2022 We establish an accurate and efficient scheme with four-order accuracy for solving three-dimensional (3D) acoustic wave equation. First, the local one-dimensional method is used to transfer the 3D wave equation into three one-dimensional wave equations ...
Wu Mengling, Jiang Yunzhi, Ge Yongbin
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A Second-Order Accurate Numerical Approximation for a Two-Sided Space-Fractional Diffusion Equation
Mathematics, 2023 In this paper, we investigate a practical numerical method for solving a one-dimensional two-sided space-fractional diffusion equation with variable coefficients in a finite domain, which is based on the classical Crank-Nicolson (CN) method combined with
Taohua Liu +3 more
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Mathematics, 2022 We herein mainly employ a proper orthogonal decomposition (POD) to study the reduced dimension of unknown solution coefficient vectors in the Crank–Nicolson finite element (FE) (CNFE) method for the symmetric tempered fractional diffusion equation so ...
Xiaoyong Yang, Zhendong Luo
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