Chebyshev spectral method for the Bratu problem | ||
| البحوث التطبيقية في العلوم والانسانيات | ||
| Volume 1, Issue 1, July 2024, Pages 23-34 PDF (1.11 M) | ||
| Document Type: المقالة الأصلية | ||
| DOI: 10.21608/aash.2024.368286 | ||
| Authors | ||
| Ahmed Abo Elhassan; Ahmed Rabia; Hamdy Mohamed; Mohamed Ali; Mohamed Emam; Rashad Faisal; Saif Elden Mohamed; Ahmed Gamal Atta | ||
| Assistant professor, Department of Mathematics Ain Shams University, Faculty of Education | ||
| Abstract | ||
| A novel and effective collocation method for solving the nonlinear Bratu differential equation is presented in this work. The application of our spectral collocation method enables us to get a system of nonlinear equations that solved using Newton’s iterative approach to get the approximate solution. Furthermore, Also, numerical comparisons between the presented procedure with different numerical methods are held. The numerical outcomes confirm that the proposed procedure is precise, computationally efficient, and easy to implement. | ||
| Keywords | ||
| Chebyshev polynomials; Collocation method; Bratu differential equation | ||
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