Pde Solver Matlab
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Numerical Computing with MATLAB
A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.
Computational Partial Differential Equations
Author: Hans Petter Langtangen
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-04-17
During the last decades there has been a tremendous advancement of com puter hardware, numerical algorithms, and scientific software. Engineers and scientists are now equipped with tools that make it possible to explore real world applications of high complexity by means of mathematical models and computer simulation. Experimentation based on numerical simulation has become fundamental in engineering and many of the traditional sciences. A common feature of mathematical models in physics, geology, astrophysics, mechanics, geophysics, as weH as in most engineering disciplines, is the ap pearance of systems of partial differential equations (PDEs). This text aims at equipping the reader with tools and skills for formulating solution methods for PDEs and producing associated running code. Successful problem solving by means of mathematical models inscience and engineering often demands a synthesis of knowledge from several fields. Besides the physical application itself, one must master the tools of math ematical modeling, numerical methods, as weH as software design and im plementation. In addition, physical experiments or field measurements might play an important role in the derivation and the validation of models. This book is written in the spirit of computational sciences as inter-disciplinary activities. Although it would be attractive to integrate subjects like mathe matics, physics, numerics, and software in book form, few readers would have the necessary broad background to approach such a text.
ODE, BVP, and 1D PDE Solvers for Scientific and Engineering Problems With MATLAB Basics
In the academic field, engineers, scientists, educators, and students are faced with a persistent challenge: the gap between theoretical knowledge and practical implementation in solving real-world engineering problems. The scarcity of focused resources tailored to mastering MATLAB® and its specialized solvers for Ordinary Differential Equations (ODEs) and One-Dimensional Partial Differential Equations (1D PDEs) has left many individuals struggling to bridge this educational chasm. The disconnect between the theory learned in the classroom and the ability to effectively address engineering challenges in the real world has become a significant hurdle. The definitive solution to the academic conundrum of this lack of a focused resource is the book, ODE, BVP, and 1D PDE Solvers for Scientific and Engineering Problems with MATLAB Basics, which draws on years of teaching experience. This groundbreaking book provides a structured and holistic learning path designed to empower both novice learners and seasoned professionals. It takes readers on a comprehensive journey, commencing with the fundamentals of MATLAB® software and culminating in the mastery of its application in solving ODEs and 1D PDEs for a broad range of engineering problems.