Pure & Applied Mathematics: Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB

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Learn to solve complex differential equations using MATLAB® with this comprehensive guide. It teaches readers how to numerically tackle both ordinary and partial differential equations, integrating MATLAB programming with theoretical concepts and modeling. By combining these elements, the author encourages readers to conduct their own computer experiments, deepening their understanding of differential equations. The text is divided into three parts, providing all necessary tools for mastering MATLAB in this context. It is suitable for courses in numerical differential equations, numerical analysis, and traditional ordinary and partial differential equations. The material has been classroom-tested over many years, ensuring that even self-learners with a basic understanding of single-variable calculus can grasp the content. The book utilizes MATLAB's excellent graphical capabilities to display and analyze results effectively. Additionally, a comprehensive chapter on the finite element method addresses practical aspects, including mesh generation, allowing readers to solve general elliptic boundary value problems numerically. With its extensive coverage of analytic and geometric concepts, programs, algorithms, and applications, this work serves as an exceptional educational resource.