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
DISCRETE MULTI-GALERKIN METHODS FOR DERIVATIVE-DEPENDENT HAMMERSTEIN TYPE WEAKLY SINGULAR NONLINEAR FREDHOLM INTEGRAL EQUATIONS WITH GREEN'S KERNEL

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DYNAMICAL INVESTIGATION AND NUMERICAL MODELING OF A FRACTIONAL MIXED NONLINEAR PARTIAL INTEGRO-DIFFERENTIAL PROBLEM IN TIME AND SPACE

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SOLVABILITY OF HILFER FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE IN $ \mathbb{R}^M $

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FIXED POINT THEOREMS OVER $\mathfrak{B}$-METRIC-LIKE SPACES AND APPLICATIONS IN ELECTRIC CIRCUIT EQUATIONS

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SOLVABILITY OF LANGEVIN FRACTIONAL DIFFERENTIAL EQUATION OF HIGHER-ORDER WITH INTEGRAL BOUNDARY CONDITIONS

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A fitted scheme for the nonlinear time fractional Gray-Scott model with nonsmooth solutions

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Mean-field backward stochastic differential equations and nonlocal PDEs with quadratic growth

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Fractional Sobolev spaces for the singular-perturbed Laplace operator in the $$L^p$$ setting

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Analytical Solutions for Fractional Black-Scholes European Option Pricing Equation by Using Homotopy Perturbation Method with Caputo Fractional Derivative

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The sharp growth rate in nonuniformly elliptic Schauder theory

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

book Full Text OpenAlex 358 FWCI7.895

Asymptotic expansions of solutions of singularly perturbed equations

article Full Text OpenAlex 256 FWCI9.678

NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS

article Full Text OpenAlex 234 FWCI17.81

Numerical Solution of Partial Differential Equations by Finite Difference Methods

book-chapter Full Text OpenAlex 211 FWCI189.111

Basic Theory of Fractional Differential Equations

book Full Text OpenAlex 208 FWCI14.047

Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

article Full Text OpenAlex 194 FWCI42.077

Delay Differential Equations and Applications to Biology

book Full Text OpenAlex 176 FWCI13.768

Partial Differential Equations

book Full Text OpenAlex 161 FWCI2.974

Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives

article Full Text OpenAlex 148 FWCI11.313

Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system

article Full Text OpenAlex 132 FWCI12.826