Ordinary And Partial Differential Equations

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Ordinary And Partial Differential Equations

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Author : Victor Henner
language : en
Publisher: CRC Press
Release Date : 2013-01-29

Ordinary And Partial Differential Equations written by Victor Henner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-29 with Mathematics categories.

Covers ODEs and PDEs-in One TextbookUntil now, a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn't exist. Fulfilling this need, Ordinary and Partial Differential Equations provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as

Ordinary And Partial Differential Equations 20th Edition

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Author : Raisinghania M.D.
language : en
Publisher: S. Chand Publishing
Release Date :

Ordinary And Partial Differential Equations 20th Edition written by Raisinghania M.D. and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.

This well-acclaimed book, now in its twentieth edition, continues to offer an in-depth presentation of the fundamental concepts and their applications of ordinary and partial differential equations providing systematic solution techniques. The book provides step-by-step proofs of theorems to enhance students' problem-solving skill and includes plenty of carefully chosen solved examples to illustrate the concepts discussed.

Ordinary And Partial Differential Equations

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Author : NITA H. SHAH
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2015-01-17

Ordinary And Partial Differential Equations written by NITA H. SHAH and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-17 with Mathematics categories.

This revised and updated text, now in its second edition, continues to present the theoretical concepts of methods of solutions of ordinary and partial differential equations. It equips students with the various tools and techniques to model different physical problems using such equations. The book discusses the basic concepts of ordinary and partial differential equations. It contains different methods of solving ordinary differential equations of first order and higher degree. It gives the solution methodology for linear differential equations with constant and variable coefficients and linear differential equations of second order. The text elaborates simultaneous linear differential equations, total differential equations, and partial differential equations along with the series solution of second order linear differential equations. It also covers Bessel’s and Legendre’s equations and functions, and the Laplace transform. Finally, the book revisits partial differential equations to solve the Laplace equation, wave equation and diffusion equation, and discusses the methods to solve partial differential equations using the Fourier transform. A large number of solved examples as well as exercises at the end of chapters help the students comprehend and strengthen the underlying concepts. The book is intended for undergraduate and postgraduate students of Mathematics (B.A./B.Sc., M.A./M.Sc.), and undergraduate students of all branches of engineering (B.E./B.Tech.), as part of their course in Engineering Mathematics. New to the SECOND Edition • Includes new sections and subsections such as applications of differential equations, special substitution (Lagrange and Riccati), solutions of non-linear equations which are exact, method of variation of parameters for linear equations of order higher than two, and method of undetermined coefficients • Incorporates several worked-out examples and exercises with their answers • Contains a new Chapter 19 on ‘Z-Transforms and its Applications’.

Finite Difference Methods For Ordinary And Partial Differential Equations

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Author : Randall J. LeVeque
language : en
Publisher: SIAM
Release Date : 2007-09-06

Finite Difference Methods For Ordinary And Partial Differential Equations written by Randall J. LeVeque and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-06 with Mathematics categories.

Introductory textbook from which students can approach more advance topics relating to finite difference methods.

Ordinary And Partial Differential Equations For The Beginner

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Author : Laszlo Szekelyhidi
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-05-24

Ordinary And Partial Differential Equations For The Beginner written by Laszlo Szekelyhidi and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-24 with Mathematics categories.

This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary differential equations to advanced methods for first order partial differential equations.In addition to the theoretical background, solution methods are strongly emphasized. Each section is completed with problems and exercises, and the solutions are also provided. There are special sections devoted to more applied tools such as implicit equations, Laplace transform, Fourier method, etc. As a novelty, a method for finding exponential polynomial solutions is presented which is based on the author's work in spectral synthesis. The presentation is self-contained, provided the reader has general undergraduate knowledge.

Numerical Solution Of Ordinary And Partial Differential Equations The 3rd Edition

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Author : Granville Sewell
language : en
Publisher: World Scientific
Release Date : 2014-12-16

Numerical Solution Of Ordinary And Partial Differential Equations The 3rd Edition written by Granville Sewell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-16 with Mathematics categories.

This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five. A very general-purpose and widely-used finite element program, PDE2D, which implements many of the methods studied in the earlier chapters, is presented and documented in Appendix A.The book contains the relevant theory and error analysis for most of the methods studied, but also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs (FORTRAN or MATLAB) for solving ordinary and partial differential equations, using both finite differences and finite elements. In addition, they will be able to solve very difficult partial differential equations using the software PDE2D, presented in Appendix A. PDE2D solves very general steady-state, time-dependent and eigenvalue PDE systems, in 1D intervals, general 2D regions, and a wide range of simple 3D regions.The Windows version of PDE2D comes free with every purchase of this book. More information at www.pde2d.com/contact.

Ordinary And Partial Differential Equations

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Author : M.D.Raisinghania
language : en
Publisher: S. Chand Publishing
Release Date :

Ordinary And Partial Differential Equations written by M.D.Raisinghania and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

This book has been designed for Undergraduate (Honours) and Postgraduate students of various Indian Universities.A set of objective problems has been provided at the end of each chapter which will be useful to the aspirants of competitve examinations

Ordinary And Partial Differential Equations

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Author : Ravi P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-13

Ordinary And Partial Differential Equations written by Ravi P. Agarwal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-13 with Mathematics categories.

In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.

Ordinary And Partial Differential Equations

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Author : Patrick McCann
language : en
Publisher:
Release Date : 2020-09-08

Ordinary And Partial Differential Equations written by Patrick McCann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-08 with Mathematics categories.

The statement which expresses the equality of two expressions is known as an equation. A differential equation is a kind of mathematical equation that shows the connection between a function and its derivatives. Functions represent the physical quantities and derivatives show their rates of change. The differential equation seeks to define the relationship between the two. It can be classified into various types such as ordinary differential equations and partial differential equations. Ordinary differential equation contains one or more than one function of an independent variable. It is related to the derivatives of these functions. Partial differential equations contain unknown multi-variable functions as well as their partial derivatives. These are generally used to formulate problems which contain functions of several variables. The topics included in this book on ordinary and partial differential equations are of utmost significance and bound to provide incredible insights to readers. It presents researches and studies performed by experts across the globe. This book is appropriate for students seeking detailed information in this area as well as for experts.

Ordinary And Partial Differential Equations 19th Edition

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Author : M. D. Raisinghania
language : en
Publisher: S. Chand Publishing
Release Date : 2017-12-04

Ordinary And Partial Differential Equations 19th Edition written by M. D. Raisinghania and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Mathematics categories.

Ordinary and Partial Differential Equations" is a comprehensive treatise on the subject with the book divided in three parts for ease of understanding. The book is replete with up to date examples and questions. The three parts divide the book so there is progression of thought and constancy - The first part viz. Elementary Differential Equations covers fundamental topics such as Equations of the First Order & Degree and Exact Differential Equations and Equations of Special Forms and Linear Differential Equations of the Second Order; "Advanced Ordinary Differential Equations and Special Functions" (Part II) covers important topics such as Fourier Series, Bessel Functions and Orthogonal Set of Functions and Strum-Liouville Problem among others. The third part "Partial Differential Equations" deals aptly with topics such as Linear and Non-Linear Partial Differential Equations of Order One, Riemann Method and Monge's Method.