Keywords: 65L11; 65L12; 65L70; Singularly perturbed; Two parameter; Scaled first derivative;
مقالات ISI (ترجمه نشده)
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Keywords: Delay differential equations; Nonstandard finite difference methods; Dynamic consistency; 34K06; 34K28; 65L03; 65L12;
Keywords: Singularly perturbed problem; Interior and boundary layers; Dynamically adapted mesh; Reaction-diffusion-advection equation; Coefficient inverse problem; Final time observed data; 65M32; 65L04; 65L12; 65L20; 65M20; 35G31;
Keywords: Equivariant moving frames; Finite difference equations; Group foliation; Joint invariants; Lie group actions; 65L12; 65Q10;
Keywords: 65L10; 65L12; 65L20; 65L70; Singular perturbation; Convection-diffusion; Shishkin mesh; Finite differences; Uniform convergence; Preconditioning;
Keywords: Anomalous heat conduction; Composite material; The balance method; Inverse problem; Levenberg-Marquardt regularization; 35R11; 35R05; 65L12; 65L09;
Keywords: 65L11; 65L12; Singular perturbation; Gaussian pulse; Shishkin mesh;
Keywords: primary; 65L10; secondary; 65L12; 65L50; Singular perturbation; Difference scheme; Initial value problem; Shishkin mesh; Uniform convergence;
Keywords: 34B15; 45J15; 47H10; 65L12; 65D32; 65H10; 65N22Nonlocal problems; Integro-differential boundary value problems; Finite differences methods; Nonlocal algebraic systems; Iterative methods for solving nonlocal systems
Keywords: 65L11; 65L12; 65L20; 65R05Delay difference scheme; Layer adapted mesh; Uniform convergence; Singular perturbation
Keywords: 65L10; 65L12; 65L20; 65L50; 65L70; 34B15Singular boundary value problem; Nonlinear ordinary differential equation; Exact three-point difference scheme
Keywords: Singularly perturbed problem; Convection–diffusion problem; Discontinuous convection coefficient; Shishkin mesh; Delay65L10; 65L11; 65L12
Keywords: 65L10; 65L12; 65H10; 65H20Boundary-value problems; Neumann boundary conditions; Newton’s method; Newton–Mysovskikh’s theorem; Mesh-independence principle; Complete cubic splines
Keywords: 65L05; 65L12; 65L20; 65L70Singularly perturbed; Initial value problem; Adaptive grid; Uniform convergence
Keywords: 65L11; 65L12; 65L20Singularly perturbed; Interior layer; Nonlinear; Shishkin mesh
Keywords: 65L10; 65L12; 65L20; 65L70Singular perturbation; Boundary-value problem; Shishkin mesh; Finite differences; Uniform convergence
Keywords: 65L12; 37M99; 92D30; Epidemiological modeling; Dynamical systems; Asymptotic stability; Nonstandard finite difference method; Simulations;
An efficient numerical method for a two-point boundary value problem with a Caputo fractional derivative
Keywords: 65L05; 65L12; 65L20; Caputo fractional derivative; Boundary value problem; Shooting method; integral-differential equation; Convergence analysis;
An integro quadratic spline approach for a class of variable-order fractional initial value problems
Keywords: Variable-order fractional calculus; Spline approximation; Integro spline; Bagley-Torvik fractional equation; Basset fractional equation; 26A33; 34A08; 33F05; 41A15; 65L12; 65L05;
High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form
Keywords: Variable mesh; Finite difference method; Nonlinear equation; Divergence form; Two-point boundary value problems65L10; 65L12; 65L15; 65L20
Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
Keywords: 65L05; 65L10; 65L12; 65L50; 65Y20Singular perturbation; Moving mesh methods; Mesh equidistribution; Uniformly convergent adaptive solution; A priori meshes; A posteriori meshes
Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals
Keywords: 65L10; 65L12; 34B40; Nonlinear boundary value problems; Infinite intervals; Quasi-uniform grid; Non-standard finite difference methods;
Improving the accuracy of the AVF method
Keywords: 65P10; 65L12; 34K28Geometric numerical integration; Discrete gradient method; Average vector field method; Locally exact scheme; BB-series; Hamiltonian systems
On the numerical solution of a class of nonstandard Sturm–Liouville boundary value problems
Keywords: 65L12; 65H10; 34B15; 45J05; 47H10; 15B48Numerical iterative methods; Integro-differential boundary value problems; Nonlinear problems; Fixed point theory; MM-matrices
Qualocation for a singularly perturbed boundary value problem
Keywords: 65L10; 65L12; 65L60; Reaction-convection-diffusion problems; Finite element methods; Singular perturbation; Collocation methods; Shishkin mesh; Parameter uniform convergence;
Efficient approximation of the solution of certain nonlinear reaction–diffusion equations with large absorption
Keywords: 65H10; 65L10; 65L12; 65H20; 65Y20Two-point boundary-value problem; Finite differences; Stationary solution; Homotopy continuation; Condition number; Complexity
An algorithm for the finite difference approximation of derivatives with arbitrary degree and order of accuracy
Keywords: 65D25; 65L12; 68U99Numerical differentiation; Derivative approximation; Finite difference; Higher degree; Order of accuracy
B-spline collocation for solution of two-point boundary value problems
Keywords: 65L05; 65L06; 65L07; 65L12; 65L20; 65L70; 65L80Nonlinear boundary value problems; Sextic B-spline method; Collocation; Convergence; Green’s function
Approximation of the solution of certain nonlinear ODEs with linear complexity
Keywords: 65H10; 65L10; 65L12; 65H20; 65Y20Two-point boundary-value problem; Finite differences; Neumann boundary condition; Stationary solution; Homotopy continuation; Polynomial system solving; Condition number; Complexity
A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems
Keywords: 65L10; 65L12; 65N30Singular perturbation; Hybrid finite difference scheme; Shishkin mesh; Uniform convergence
Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form
Keywords: 65L10; 65L12; Third order discretization; Variable mesh; TAGE method; Simpson's 1/3rd rule; Integro-differential equation; Singular coefficients;
Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm
Keywords: 65L Except 65L05; 65L06; 65L07; 65L12; 65L20; 65L70; 65L80Boundary value problems; Degenerate problems; Pole detection; Singularity; Formally orthogonal Hadamard polynomials; qd-Algorithm; Finite difference scheme; Fröbenius method
A second-order difference scheme for a parameterized singular perturbation problem
Keywords: 65L10; 65L12; 65N30Singular perturbation; Parameterized problem; Midpoint difference scheme; Shishkin meshes; Uniform convergence
From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells
Keywords: 65L09; 65L12; 74B9902.30.Jr; 02.30.Sa; 02.50.Cw; 05.20.Dd; 05.60.+wKinetic theory; Stochastic games; Evolution; Mutations; System biology; Active particles; Genes and genome; Multicellular systems
Uniformly convergent non-standard finite difference methods for self-adjoint singular perturbation problems
Keywords: 65L10; 65L12; 65L70; 65L99Singular perturbations; Non-standard methods; Boundary value problems; Ordinary differential equations
A polynomial approach to the spectral corrections for Sturm-Liouville problems
Keywords: 65L10; 65L12; 65L15; Sturm-Liouville problem; Shooting for eigenvalues; λ-rational problems; Corrections for eigenvalues;
Optimal harvesting of two competing species with age dependence
Keywords: 35B10; 49K05; 65L12; 92B05Competition; Optimal control; Population model; Age structure; Maximum principle
A challenging nonlinear problem for numerical techniques
Keywords: 34B15; 68Q17; 65L12; 65L17; Multiple solution; Nonlinearity; Sensitivity to boundary conditions;
On a set of singularly perturbed convection-diffusion equations
Keywords: 65L10; 65L12; 65L20; 76M20; Systems of convection-diffusion equations; Finite differences; Singular perturbation; Layer-adapted meshes;
A note on a parameterized singular perturbation problem
Keywords: 65L10; 65L12; 65N30; Parameterized problem; Singular perturbation; Uniform convergence; Finite difference scheme; Shishkin mesh;
High-order finite difference schemes for the solution of second-order BVPs
Keywords: 65L10; 65L12; 65L20; Finite difference schemes; Boundary value methods; Two-point boundary value problems; Conditioning analysis;
On non-standard finite difference models of reaction-diffusion equations
Keywords: 65L12; 65M06; 65M99; Non-standard finite difference method; Qualitative stability; Reaction-diffusion equations; Energy-preserving schemes; Theta-methods; Spectral methods;
General explicit difference formulas for numerical differentiation
Keywords: 65D25; 15A06; 65L12; Numerical differentiation; Explicit finite difference formula; Generalized Vandermonde determinant; Taylor series; Higher derivatives;