专题:Differential Equations and Numerical Methods

This cluster of papers focuses on numerical methods and analysis for solving singularly perturbed problems, particularly in the context of convection-diffusion and reaction-diffusion equations. The research covers topics such as boundary layers, finite difference schemes, asymptotic analysis, parameter-robust methods, and adaptive meshes to accurately solve these challenging problems.
最新文献
An equidistributed mesh method to study the singularly perturbed equations with spatial retardation

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Theoretical and numerical studies of the blow-up of a degenerate nonlinear reaction–diffusion problem with source terms

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The use of pseudo-spectral high order method HOSM for simulations of nonlinear waves on the surface of finite depth water

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Two ADI compact difference methods for variable-exponent diffusion wave equations

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Error estimation of $$\alpha _p$$-robust ADI difference scheme on graded meshes for the three-dimensional nonlinear multiterm subdiffusion equation with constant coefficients

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THREE – DIMENSIONAL TIME –FRACTIONAL ADVECTION-DIFFUSION MODELING MODELING OF POLLUTANT DISPERSION: ANALYTICAL AND NUMERICAL FRAMEWORK

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Three-Layer Compact Difference Scheme for a Hyperbolic Heat Conduction Equation

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Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations

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A new Nystrom method for solving boundary value problems on the real axis

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A computational method for the fluid-structure interaction in nonlinear ocean waves using the nonlinear Schrödinger equation

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近5年高被引文献
Asymptotic Methods in Equations of Mathematical Physics

book Full Text OpenAlex 334 FWCI7.5288

Asymptotic expansions of solutions of singularly perturbed equations

article Full Text OpenAlex 261 FWCI9.844

Numerical Solution of Partial Differential Equations by Finite Difference Methods

book-chapter Full Text OpenAlex 235 FWCI192.6316

Basic Theory of Fractional Differential Equations

book Full Text OpenAlex 230 FWCI20.4469

Two-layer-liquid and lattice considerations through a (3+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system

article Full Text OpenAlex 211 FWCI61.6241

Partial Differential Equations

book Full Text OpenAlex 154 FWCI3.0785

Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation

article Full Text OpenAlex 148 FWCI43.329

Advances in Difference Equations

article Full Text OpenAlex 130 FWCI2.3305

Partial Differential Equations and Applications

book Full Text OpenAlex 105 FWCI2.1024

Progress in Fractional Differentiation and Applications

paratext Full Text OpenAlex 103 FWCI0