# Chebyshev Differential Quadrature for Numerical Solutions of Higher Order Singular Perturbation Problems

## TL;DR

This paper applies Chebyshev differential quadrature to solve higher order singular perturbation problems, demonstrating its accuracy and effectiveness through numerical tests and comparisons with exact solutions.

## Contribution

It introduces a Chebyshev polynomial-based differential quadrature method for higher order singular perturbation problems, enhancing numerical solution accuracy.

## Key findings

- High accuracy in numerical solutions demonstrated
- Effective handling of nonlinear and linear perturbation problems
- Comparison confirms method's reliability

## Abstract

In this study linear and nonlinear higher order singularly perturbed problems are examined by a numerical approach, the differential quadrature method. Here, the main idea is using Chebyshev polynomials to acquire the weighting coefficient matrix which is necessary to get numerical results. Following this, different class of perturbation problems are considered as test problems. Then, all results are shown in tables and also comparison between numerical and exact solution shows the accuracy and effectiveness of the presented method.