Written for students in computational science and engineering, this book introduces several numerical methods for solving various partial differential equations. The text covers traditional techniques, such as the classic finite difference method and the finite element method, as well as state-of-the-art numerical methods, such as the high-order compact difference method and the radial basis function meshless method. Topics covered include finite difference methods for parabolic equations, high-order compact difference methods, and mixed finite element methods.
MATLAB is used to solve numerous application examples throughout the text.
Teaching materials based on MATLAB and Simulink