Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations

Mathematical models can be used to translate real-world issues into the language and concepts of mathematics. Differential equations with intuitive solutions can be used in engineering and the sciences to describe almost any changing system. Over hundreds of years, mathematicians have investigated the nature of these equations and created numerous effective methods for solving them. Numerical approaches and computer simulations are especially helpful in complex systems, and this book discusses advance numerical techniques to solve linear and nonlinear differential equations. It is useful for students of engineering and applied mathematics, researchers, and engineers who use computers to solve problems numerically.

Format: Hardback
Length: 152 pages
Publication date: 23 January 2024
Publisher: River Publishers

Mathematical models have the power to translate real-world issues into the language and concepts of mathematics. These models, guided by differential equations with intuitive solutions, find widespread applications in engineering and the sciences. Differential equations can describe almost any changing system, from physics to economics, sociology to biology, and beyond. Over hundreds of years, mathematicians have extensively studied the nature of these equations, leading to the development of numerous effective methods for solving them. However, finding purely analytical solutions to complex systems described by differential equations can be impractical. In such cases, numerical approaches and computer simulations become invaluable tools.

This book delves into real-world examples, explores research challenges in numerical treatment, and demonstrates the creation of new numerical methods for resolving problems. It covers theories and practical applications in various scientific and engineering fields. Designed for students of engineering and applied mathematics, as well as researchers and engineers who utilize computers for numerical problem-solving or oversee such efforts, this book focuses on advanced numerical techniques for solving linear and nonlinear differential equations.

By leveraging the power of mathematical models and numerical techniques, we can gain a deeper understanding of complex systems and find innovative solutions to real-world challenges.

Weight: 470g
Dimension: 234 x 156 (mm)
ISBN-13: 9788770229876