[PDF] Top 20 A Parameter-Uniform Essentially First Order Convergent Fitted Mesh Method for a Singularly Perturbed Robin Problem

... to parameter-uniform numerical methods for singular perturbation problems, see [1],[2],[3] and ...the singularly perturbed Robin problem for the general nonlinear ... See full document

... difference method for solving second-order self-adjoint singularly perturbed boundary value ...problems. First, the solution domain is ...value problem are replaced by finite ... See full document

... In order to construct parameter-uniform numerical methods for singularly perturbed differential equations, two different techniques are ...the fitted operator approach 20 which has ... See full document

... perturbation parameter and become small only when the effective mesh-size in the layer is much less than the value of the parameter ...perturbation parameter ε and in particular give ... See full document

... In order to construct parameter-uniform numerical methods, two different techniques are ...special mesh approach see 11, 12, which constructs meshes adapted to the solution of the ... See full document

... the singularly perturbed boundary value problem containing both control parameter and integral condition is first being ...the method of integral identities with the use of appropri- ate ... See full document

... Shishkin mesh is used to construct a numeri- cal method for ...be first order parameter-uniform convergent in time and essentially first order ... See full document

... problems. Singularly perturbed reaction- diffusion equations with sufficiently smooth data have been studied extensively; see, for instance, [, ] for a ...for singularly perturbed reaction- ... See full document

... a uniform finite difference method for nonlinear singularly perturbed multi-point boundary value problem on Shishkin ...The problem is discretized using integral identities, ... See full document

... of problem have also been considered 13, ...absent. Fitted difference scheme on an equidistant mesh for the numerical solution of the linear three-point reaction-diffusion problem have been ... See full document

... v x , = v x v x , , = v x x R , ∈ . (1.7) First of all, we shall prove that the periodic boundary value problem of Equa- tion (1.6) has a unique global solution by the Galerkin method. Next, we prove ... See full document

... singular perturbed differential equations (SPDE) started in year ...of singularly perturbed partial differential equations in ...singular perturbed differential equations with turning point ... See full document

... implicit method for solving the singularly perturbed convection – diffusion parabolic partial differential equation produces very high accuracy compared with the other classical method, ... See full document

... B C F ⋅ = (14) The B-spline function is a useful wavelet basis function, the stiffness matrix is sparse. When it is used as trial functions, which leads to a tri-diagonal linear system. Hence the wavelet collocation ... See full document

... “A Parameter Uniform Numerical Method for a System of Singularly Perturbed Ordinary Differential Equations,” Applied Mathematics and Computation, ... See full document

... defined by setting ε = 0 in (1.1), have unique solutions u and z. This global assumption is however rather restrictive. For example, mathematical models of biological and chemical processes frequently involve problems ... See full document

... Singularly perturbed delay differential equations have up to now not been satisfactorily discussed in numerical analysis literature; however, in recent years there has been a grow- ing interest in the ... See full document

... [11] Y. N. Reddy and P. Pramod Chakravarthy, “Method of Reduction of Order for Solving Singularly Perturbed Two-Point Boundary Value Problems,” Applied Mathe- matics and Computation, Vol. 136, ... See full document

... for singularly perturbed two-point boundary value problems, ...(AGE) method for singularly perturbed boundary value problems, ... See full document

... Our analysis in this paper resembles those in [15, Section 3], [4, Section 3] in that, roughly speaking, we freeze the coefficients and estimate the corresponding explicit Green’s function for a constant-coefficient ... See full document