The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM

Abstract

In this paper, the numerical integral method on a uniform mesh is used to solve the singularly perturbed problem with integral boundary value. This method also includes the trapezoid method, the finite difference method, and the Thomas algorithm. The problem is converted to finite difference problem by using finite difference approximations and trapezoid method. Finally, the convergence of the presented method is analyzed through sample application. Thus, the accuracy and efficiency of the method are shown.

Keywords

• the finite difference method
• SingularLy Perturbed Problem
• Trapezoidal Method
• boundary layer
• Numerical integral method
• Singularly perturbed problem
• Finite difference method
• Trapezoidal method
• Uniform mesh

A Robust Numerical Approach for Singularly Perturbed Problem with Integral Boundary Condition

Abstract

In this research, the numerical integral method procedure on uniform mesh is used to solve the singularly perturbed problem which has integral boundary value. This method also includes the trapezoid method, the finite difference method, and the Thomas algorithm. The problem is converted to finite difference problem by using finite difference approximations and trapezoid method. Finally, the convergence of the presented method is analyzed through sample application. Thus, the correctness and sufficiency of the method are shown.

Keywords

• Numerical integral method
• Singularly perturbed problem
• Finite difference method
• Trapezoidal method
• Uniform mesh

References

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