Keywords: انتشار غیرخطی; Nonlocal diffusion; Existence; Uniqueness; p-Laplacian; Bilateral filter;
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Keywords: انتشار غیرخطی; Nonlocal diffusion; Global existence; Blow-up; Second critical exponent;
Keywords: انتشار غیرخطی; Epidemic model; Traveling wave; Nonlocal diffusion; Nonlocal delay; 35K57; 37C65; 92D30;
Keywords: انتشار غیرخطی; 65F35; 47G10; 74B99; Condition number; Error analysis; Integral operator; Peridynamics; Nonlocal diffusion; Preconditioning;
Keywords: انتشار غیرخطی; Asymptotic behavior; Nonlocal diffusion; Nonlocal convection;
Keywords: انتشار غیرخطی; Nonlocal diffusion; Peridynamic model; Nonlocal operator; Neumann problems; Finite element; Finite difference;
Keywords: انتشار غیرخطی; 35B40; 35B33; 45K05; 47G20; Blow up solution; Global solution; Fujita exponent; Nonlocal diffusion; Dispersal tails; Hair trigger effect;
Keywords: انتشار غیرخطی; primary; 35R09; secondary; 34B10; 34C25; 47H11; Nonlocal diffusion; Second order integro-partial differential equation; Approximation solvability method; Periodic solution; Nonlocal condition; Degree theory;
Keywords: انتشار غیرخطی; Nonlocal diffusion; Free boundary; Spatial heterogeneity; Sign indefinite; Spreading-vanishing dichotomy; Spreading speed;
Keywords: انتشار غیرخطی; Reduced-basis methods; Nonlocal diffusion; Uncertainty quantification; Finite element methods;
Keywords: انتشار غیرخطی; primary; 35R11; secondary; 45K05; 35C15; 47G20; Nonlocal diffusion; Riemann-Liouville derivative; Fractional Laplacian; Decay of solutions; Energy inequality; Fundamental solution;
Keywords: انتشار غیرخطی; Nonlocal diffusion; Local existence; Inhomogeneous; Blow-up
Keywords: انتشار غیرخطی; Nonlocal operators; Integral equations; Fourier transform; Tempered distributions; Peridynamics; Nonlocal diffusion
Keywords: انتشار غیرخطی; Nonlocal flux; Stochastic coagulation; Smoluchowski equation; Conservation law; Nonlocal diffusion; Fractional diffusion
Keywords: انتشار غیرخطی; 35K55; 35K65Drift–diffusion equation; Nonlocal diffusion; Global existence
Keywords: انتشار غیرخطی; Nonlocal diffusion; Critical Fujita exponent; Second critical exponent; Global existence; Blow-up;
Keywords: انتشار غیرخطی; Peridynamics; Asymptotically compatible scheme; Nonlocal transient heat transfer; Convergence; Nonlocal diffusion;
Keywords: انتشار غیرخطی; Rapid solidification; Nonlocal diffusion; Extended thermodynamics; Solute trapping; Viscous stress
Keywords: انتشار غیرخطی; Collocation method; Dense matrix; Discontinuous problems; Fast method; Nonlocal diffusion
Keywords: انتشار غیرخطی; Nonlocal diffusion; Interface problems; Interface conditions; Multiscale modeling;
Traveling waves of some Holling-Tanner predator-prey system with nonlocal diffusion
Keywords: انتشار غیرخطی; Traveling waves; Predator-prey model; Nonlocal diffusion; Schauder's fixed point theorem; Coexistence state;
Global dynamics of an SIR epidemic model with nonlocal diffusion
Keywords: انتشار غیرخطی; SIR epidemic model; Nonlocal diffusion; Basic reproduction number; Global asymptotic stability; Lyapunov function;
Traveling waves for n-species competitive system with nonlocal dispersals and delays
Keywords: انتشار غیرخطی; Traveling wave; Lotka–Volterra model; Nonlocal diffusion; Competition; Schauder’s fixed point theorem; Delay35K57; 92D25
A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions
Keywords: انتشار غیرخطی; Nonlocal models; Coupling method; Optimization; Nonlocal vector calculus; Mixed boundary conditions; Nonlocal diffusion
A radial basis function Galerkin method for inhomogeneous nonlocal diffusion
Keywords: انتشار غیرخطی; Radial basis functions; Nonlocal diffusion; Lagrange functions; Volume constraint
Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems
Keywords: انتشار غیرخطی; Collocation method; Hypersingular integrals; Nonlocal diffusion; Nodal-type quadrature rules
Asymptotic behavior for a nonlocal diffusion equation in exterior domains: The critical two-dimensional case
Keywords: انتشار غیرخطی; Nonlocal diffusion; Exterior domain; Asymptotic behavior; Matched asymptotics;
Integral approximations to classical diffusion and smoothed particle hydrodynamics
Keywords: انتشار غیرخطی; Smooth Particle Hydrodynamics; Classical diffusion; Nonlocal diffusion; Nonlocal operator; Nonlocal Neumann condition; Numerical approximation
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
Keywords: انتشار غیرخطی; Nonlocal diffusion; Nonlocal operators; Nonlocal vector calculus; Fractional Sobolev spaces; Fractional Laplacian; Finite element methods
Null controllability for a parabolic equation with nonlocal nonlinearities
Keywords: انتشار غیرخطی; Null controllability; Parabolic PDEs; Nonlocal diffusion; Carleman inequalities;
Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition
Keywords: انتشار غیرخطی; Nonlocal diffusion; Blow-up; Critical exponent
Approximate the Fokker–Planck equation by a class of nonlocal dispersal problems
Keywords: انتشار غیرخطی; 35K57; 35R20; 92D25Fokker–Planck equation; Nonlocal diffusion; Spatially inhomogeneous
Traveling waves in a convolution model with infinite distributed delay and non-monotonicity
Keywords: انتشار غیرخطی; Traveling waves; Nonlocal diffusion; Infinite distributed delay; Non-monotonicity; Schauder’s fixed point theorem
Asymptotic expansions for nonlocal diffusion equations in LqLq-norms for 1⩽q⩽21⩽q⩽2
Keywords: انتشار غیرخطی; Nonlocal diffusion; Asymptotic behavior; Fractional Laplacian
Traveling waves in delayed predator–prey systems with nonlocal diffusion and stage structure
Keywords: انتشار غیرخطی; Traveling wave solutions; Predator–prey system; Stage structure; Partial quasi-monotonicity; Cross-iteration technique; Nonlocal diffusion