Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A Computational Study on Two-Parameter Singularly Perturbed Third-Order Delay Differential Equations
View through CrossRef
A class of third-order singularly perturbed two-parameter delay differential equations of boundary value problems is studied in this paper. Regular and singular components are used to estimate the solution’s a priori bounds and derivatives. A fitted finite-difference method is constructed to solve the problem on a Shishkin mesh. The numerical solution converges uniformly to the exact solution; it is validated via numerical test problems. The order of convergence of the numerical method is almost first-order, which is independent of the parameters ε and μ.
Title: A Computational Study on Two-Parameter Singularly Perturbed Third-Order Delay Differential Equations
Description:
A class of third-order singularly perturbed two-parameter delay differential equations of boundary value problems is studied in this paper.
Regular and singular components are used to estimate the solution’s a priori bounds and derivatives.
A fitted finite-difference method is constructed to solve the problem on a Shishkin mesh.
The numerical solution converges uniformly to the exact solution; it is validated via numerical test problems.
The order of convergence of the numerical method is almost first-order, which is independent of the parameters ε and μ.
Related Results
Research on a Class of First-Order Nonlinear Nonhomogeneous Variable Coefficient Ordinary Differential Equations Based on Elastic Transformation
Research on a Class of First-Order Nonlinear Nonhomogeneous Variable Coefficient Ordinary Differential Equations Based on Elastic Transformation
This paper mainly studies the problem of solving a class of first-order
nonlinear non-homogeneous ordinary differential equations with variable
coefficients， which can be transform...
An operative approach to solve Homogeneous differential--anti-differential equations
An operative approach to solve Homogeneous differential--anti-differential equations
In this work, we extend the theory of differential equations through a
new way. To do this, we give an idea of differential–anti-differential
equations and dene ordinary as well as...
Singularly Perturbed Methods for Nonlinear Elliptic Problems
Singularly Perturbed Methods for Nonlinear Elliptic Problems
This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting...
Exponentially fitted robust scheme for the solution of singularly perturbed delay parabolic differential equations with integral boundary condition
Exponentially fitted robust scheme for the solution of singularly perturbed delay parabolic differential equations with integral boundary condition
Abstract
In this paper, an exponentially fitted finite difference method is developed to solve singularly perturbed delay parabolic partial differential equations having a ...
On iterative methods to solve nonlinear equations
On iterative methods to solve nonlinear equations
Many of the problems in experimental sciences and other disciplines can be expressed in the form of nonlinear equations. The solution of these equations is rarely obtained in close...
A NUMERICAL APPROACH WITH MODIFIED GRADED MESH FOR SINGULARLY PERTURBED DELAY REACTION-DIFFUSION PROBLEMS
A NUMERICAL APPROACH WITH MODIFIED GRADED MESH FOR SINGULARLY PERTURBED DELAY REACTION-DIFFUSION PROBLEMS
This paper aims to analyze a singularly perturbed reaction-diffusion problem with time delay in one dimension using numerical techniques. We use a finite difference method, specifi...
Soham Transform in Fractional Differential Equations
Soham Transform in Fractional Differential Equations
Objectives: Soham transforms is one of the appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. Methods: Integra...
Theory of flexure of orthotropic multi-layer circular sandwich plates
Theory of flexure of orthotropic multi-layer circular sandwich plates
The theory of flexure of multi-layer orthotropic circular sandwich plates is obtained by extremizing the augmented complementary energy. The complementary energy is the sum of the ...