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
On the Derivation of a New One-Dimensional Model for Blood Flows and Its Numerical Approximation

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$$H^1$$ stability and convergence analysis of the L1/L1-2 Legendre spectral method for non-local weakly singular integro-PDEs

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Correction: A novel method for approximate solution of two point non local fractional order coupled boundary value problems

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A piecewise logarithmic Jacobi cardinal scheme for nonlinear third-kind fractional integro-differential equations

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The BDF2-ADI compact difference scheme on graded meshes for the three-dimensional PIDEs with multi-term weakly singular kernels

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Iterative Investigation of the Nonlinear Fractional Cahn–Allen and Fractional Clannish Random Walker’s Parabolic Equations by Using the Hybrid Decomposition Method

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Existence and Uniqueness of the Viscous Burgers’ Equation with the p-Laplace Operator

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Asymptotics of large deviations of finite difference method for stochastic Cahn–Hilliard equation

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Energy Stability of Adaptive Exponential Time Difference Runge-Kutta Method (ETDRK32)

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Approximate solution of time-fractional gas dynamics equation using exponential B-spline functions

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

book Full Text OpenAlex 334 FWCI10.12499999

Asymptotic expansions of solutions of singularly perturbed equations

article Full Text OpenAlex 261 FWCI13.20894171

Numerical Solution of Partial Differential Equations by Finite Difference Methods

book-chapter Full Text OpenAlex 235 FWCI249.85074541

Basic Theory of Fractional Differential Equations

book Full Text OpenAlex 225 FWCI22.51256283

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

article Full Text OpenAlex 189 FWCI102.50139302

Partial Differential Equations

book Full Text OpenAlex 154 FWCI3.42105263

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

article Full Text OpenAlex 142 FWCI64.15771688

Partial Differential Equations and Applications

book Full Text OpenAlex 105 FWCI2.48275862

Progress in Fractional Differentiation and Applications

paratext Full Text OpenAlex 103 FWCI0

Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis

article Full Text OpenAlex 97 FWCI25.54426205