Chebyshev spectral method for the Bratu problem

نوع المستند : المقالة الأصلية

المؤلفون

Assistant professor, Department of Mathematics Ain Shams University, Faculty of Education

المستخلص

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.

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