University of Cebu-Banilad Library

Includes bibliographical references and index.

Chapter 1 Introduction -- Chapter 2 Ordinary differential equations -- Chapter 3 Partial differential equations -- Chapter 4 Numerical methods for ordinary differential equations -- Chapter 5 Finite difference method for time dependent partial differential equations -- Chapter 6 Linear differential equations for higher order -- Chapter 7 Laplace transform methods.

"Differential Equations & Applications' ('DEA') aims to publish original papers from the fields pertaining to ordinary, functional-differential, and partial differential equations Differential equations and their applications form a fundamental and versatile branch of mathematics, serving as a powerful tool for modeling and understanding various phenomena in science, engineering, and other disciplines. A differential equation is an equation that involves an unknown function and its derivatives, describing how s function's rate of change relates to its current state. This mathematical framework enables the representation of dynamic processes and relationships in the natural and physical sciences. Ordinary differential equations applications in real life are used to calculate the movement or flow of electricity, motion of an object to and fro like a pendulum, to explain thermodynamics concepts. Also, in medical terms, they are used to check the growth of diseases in graphical representation. In the study of differential equations, the focus is on understanding the behavior of functions and finding solutions that satisfy specific conditions. Ordinary differential equations (ODEs) deal with functions of a single variable, while partial differential equations (PDEs) involve functions of multiple variables. The methods for solving these equations range from analytical techniques, such as separation of variables, to numerical methods that leverage computational tools for approximation. The book may cover topics such as ordinary differential equations (ODEs) and partial differential equations (PDEs), methods for solving them, and their applications in real-world scenarios. It could explore mathematical techniques, numerical methods, and analytical approaches for understanding and solving differential equations. The applications might span diverse areas, showcasing how these equations are used to describe and analyze phenomena in science and engineering." --Backcover

Purchased College of Industrial Engineering Industrial Engineering

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