Keywords: Electrohydrodynamic fluid flow; Hartmann electric number; Nonperturbative method; Convergence analysis; Strong nonlinearity; 65L10; 65L60; 34B16;
مقالات ISI (ترجمه نشده)
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Keywords: 65L04; 65L05; 65L10; 65L20; 65L50; 65Y15; Initial value problem; Boundary value problem; Stiffness; Simple shooting method; Multiple shooting method; The Troesch's problem;
Keywords: Singular two-point boundary value problem; Dirichlet boundary conditions; Polynomial reproducing kernel; Chebyshev polynomials; Convergence; Error estimation; 46E22; 35C10; 65L10; 65L11;
Keywords: 65L11; 65L10; Singular perturbed differential equations; Boundary value problems; Least squares method; B-splines;
Keywords: Singularly perturbed system of parabolic convection-diffusion problems; Boundary layers; Shishkin meshes; Finite difference scheme; Richardson extrapolation technique; Error estimate; 65M06; 65L10; 65M12;
Keywords: 65L10; 65L12; 65L20; 65L70; Singular perturbation; Convection-diffusion; Shishkin mesh; Finite differences; Uniform convergence; Preconditioning;
Keywords: 65L10; 65L60; 34B16; Singular boundary value problems; Optimal quartic B-spline collocation; Convergence analysis; Error estimation; Equilibrium of the isothermal gas sphere; Thermal explosion;
Keywords: primary; 65N06; secondary; 76M20; 65L10; Finite differences; Non-uniform grids; Boundary layer; Boundary value problems; Supraconvergence;
Keywords: Singular perturbation problem; Boundary and interior layers; Reaction-convection-diffusion; Two parameter problem; Hybrid difference scheme; 65L10; CR G1.7;
Keywords: primary; 65L10; secondary; 65L12; 65L50; Singular perturbation; Difference scheme; Initial value problem; Shishkin mesh; Uniform convergence;
Keywords: 16W60; 16W80; 12H05; 65L10; 47G20; 13J10;
Keywords: 65L10; 11B68Boundary value problem; Bernoulli polynomials; Spectral methods
Keywords: 65L10; 65L12; 65L20; 65L50; 65L70; 34B15Singular boundary value problem; Nonlinear ordinary differential equation; Exact three-point difference scheme
Keywords: 65L10; 65L12; 65H10; 65H20Boundary-value problems; Neumann boundary conditions; Newton’s method; Newton–Mysovskikh’s theorem; Mesh-independence principle; Complete cubic splines
Keywords: Fractional differential equations; Boundary value problems; Impulsive problems; Solutions; Variational methods34A08; 35A15; 34B37; 65K10; 65L10
Keywords: 42C10; 35F30; 65L10; 65L60; 35K20Fourier series in special orthogonal functions; Boundary value problems for ordinary differential equation; Initial-boundary value problems for second-order parabolic equations; Boundary value problems for non-linear first
Keywords: 65L10; 65L12; 65L20; 65L70Singular perturbation; Boundary-value problem; Shishkin mesh; Finite differences; Uniform convergence
Keywords: 65L03; 65L10; 65L11; 65L12Singular perturbation; Delay differential equations; Finite differences; Terminal boundary condition; Boundary layer
Keywords: 65D05; 65D07; 65L10; Boundary value problems; Collocation; Rational spline; Convergence;
Keywords: 65L10; CR G1.7Singular Perturbation Problem (SPP); Boundary and interior layers; Reaction–convection–diffusion; Two-parameter; Hybrid difference scheme
Haar wavelet collocation method for Lane-Emden equations with Dirichlet, Neumann and Neumann-Robin boundary conditions
Keywords: 34B15; 34B27; 34B05; 65L10; 65L80; Lane-Emden equations; Singular boundary value problems; Haar wavelet collocation method; Poisson's equation; Neumann and Neumann-Robin boundary conditions;
B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems
Keywords: Derivative dependent source function; Uniform partition; Non-uniform partition; Convergence analysis; Shallow membrane cap; Thermal explosion; 65L10; 65L60; 34B16;
Nodal superconvergence of the local discontinuous Galerkin method for singularly perturbed problems
Keywords: 65L10; 65L20; 65L60; 65M50; Local discontinuous Galerkin method; Singularly perturbed problems; Local error estimates; Superconvergence;
Quintic B-spline method for solving second order linear and nonlinear singularly perturbed two-point boundary value problems
Keywords: 65L10; Singularly perturbed boundary value problems; Quintic B-spline method; Shishkin mesh; Boundary layers; Quasilinearization; Uniform convergence;
Galerkin method for constrained variational equations and a collage-based approach to related inverse problems
Keywords: 65L10; 49J40; 34B37; 65L09; 46B10Variational equations with constraints; Impulsive differential equations; Boundary value problems; Inverse problems; Reflexive Banach spaces
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
Computing energy eigenvalues of anharmonic oscillators using the double exponential Sinc collocation method
Keywords: 65L10; 65L20; Anharmonic oscillators; Time independent Schrödinger equation; Multiple-well potentials; Sinc collocation method; Double exponential transformation;
Quintic hyperbolic nonpolynomial spline and finite difference method for nonlinear second order differential equations and its application
Keywords: Quintic Spline; Finite difference; Hyperbolic functions; Convergence; Maximum absolute errors65L12; 65L10; 34K28
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;
Effects of temperature-dependent viscosity and variable thermal conductivity on MHD non-Darcy mixed convective diffusion of species over a stretching sheet
Keywords: 65L10; 76D10; 76R10Boundary layer flow; Heat transfer; Stretching surface; Ohmic heating; Non-Darcy flow
Solving BVPs with shooting method and VIMHP
Keywords: 65L10; 65N99; 65L99Nonlinear boundary value problems; Shooting method; Variational iteration method; He’s polynomials65L10; 65N99; 65L99; He’s polynomials
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
Solving boundary value problems for delay differential equations by a fixed-point method
Keywords: 65L03; 65L10; 65L20; Boundary value problems for differential equations with deviated arguments; Fixed-point problems; Numerical methods for boundary value problems for differential equations with deviated arguments;
Error estimates of mixed finite element methods for quadratic optimal control problems
Keywords: 65L10; 65L12Error estimates; Mixed finite element; Optimal control
On very accurate enclosure of the optimal constant in the a priori error estimates for H02-projection
Keywords: 65L10; 65L60; 65L70; 65N15; 65N30; 65N35; 65G99; 35J40Constructive a priori error estimates; Legendre polynomials; Fourth-order elliptic problem
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
The method of external excitation for solving generalized Sturm–Liouville problems
Keywords: 34B24; 34L16; 65L10; 65L15Eigenvalue problems; Sturm–Liouville problems; Numerical solution; Generalized problems; Parameter dependent boundary conditions
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;
Eigenvalue problem for a coupled channel Schrödinger equation with application to the description of deformed nuclear systems
Keywords: 65L10; 65L15; 65Z05Coupled channel Schrödinger equation; CP methods; Eigenvalue problem
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
Recursive modeling and control of multi-link manipulators with vacuum grippers
Keywords: 70E60; 65L10; 49K30Robot dynamics; Vacuum gripper; Recursive modeling; Optimal control; Adjoint differential equations
Computing the spectrum of non-self-adjoint Sturm–Liouville problems with parameter-dependent boundary conditions
Keywords: 34B24; 34L15; 34L16; 65L10; 65L15Sturm–Liouville problems; Non-self-adjoint eigenvalue problems; Singular Sturm–Liouville problems; Shannon's sampling theory; Regularized sampling method; Whittaker–Shannon–Kotel’nikov theorem
Sinc–Galerkin method based on the DE transformation for the boundary value problem of fourth-order ODE
Keywords: 65L10; 65L60DE formula; Double exponential transformation; Sinc-collocation method; Boundary value problem; ODE
A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term
Keywords: 65L10; CRG1.7Weakly coupled system; Singular perturbation problem; Second order ordinary differential equation; Discontinuous source term; Finite difference scheme; Shishkin mesh
Higher order approximations using interpolation applied to collocation solutions of two-point boundary value problems
Keywords: 65D05; 41A10; 65L10; 65L60; 65L70Boundary value problems; Collocation; Hermite–Birkhoff interpolation; Asymptotic error bound
A Hermite spectral method for the computation of homoclinic orbits and associated functionals
Keywords: 34B15; 34C37; 41A30; 42C15; 65L10; 65T99Spectral methods; Homoclinic orbits; Exponential convergence; Hermite functions; Metastability
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;