First order equations: pre calculus by Adrian Harrison
English | August 16, 2019 | ISBN: 1686586825 | 56 pages | EPUB | 1.37 Mb
Introduction toFirst order equations

Discrete Fractional Calculus and Fractional Difference Equations
English | 2022 | ISBN: 3030927237 | 95 Pages | PDF | 0.9 MB
This brief aims to merge the theories of fractional calculus and discrete calculus in a concise but comprehensive manner. It is designed for graduate students, but will be useful for any researcher interested in the theory of discrete fractional calculus and fractional difference equations.

MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English + srt | Duration: 60 lectures (8h 34m) | Size: 3.64 GB

Differential Equations Step by Step | Formation of Differential Equations | Solution of Differential Equations

Advances in Difference Equations: Proceedings of the Second International Conference on Difference Equations By Saber N. Elaydi, I. Gyori, G. Ladas
1998 | 704 Pages | ISBN: 9056995219 | DJVU | 12 MB
The recent surge in research activity in difference equations and applications has been driven by the wide applicability of discrete models to such diverse fields as biology, engineering, physics, economics, chemistry, and psychology. The 68 papers that make up this book were presented by an international group of experts at the Second International Conference on Difference Equations, held in Veszprém, Hungary, in August, 1995. Featuring contributions on such topics as orthogonal polynomials, control theory, asymptotic behavior of solutions, stability theory, special functions, numerical analysis, oscillation theory, models of vibrating string, models of chemical reactions, discrete competition systems, the Liouville-Green (WKB) method, and chaotic phenomena, this volume offers a comprehensive review of the state of the art in this exciting field.

English | 20222 | ISBN: 0128241608 | 610 pages | True PDF EPUB | 109.43 MB
Differential Equations with Mathematica, Fifth Edition uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists.
Mathematica's diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica's built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, Mathematica can be used to perform the calculations encountered when solving a differential equation.

Differential Equations and Their Applications: An Introduction to Applied Mathematics by Martin Braun
English | PDF | 1993 | 595 Pages | ISBN : 0387978941 | 39.5 MB
There are two major changes in the Fourth Edition of Differential Equations and Their Applications. The first concerns the computer programs in this text. In keeping with recent trends in computer science, we have replaced all the APL programs with Pascal and C programs. The Pascal programs appear in the text in place of the APL programs, where they are followed by the Fortran programs, while the C programs appear in Appendix C.

English | 2022 | ISBN: 9811246513 | 221 pages | True PDF EPUB | 33.34 MB
This book is concerned with functional methods (nonlinear semigroups of contractions, nonlinear m-accretive operators and variational techniques) in the theory of nonlinear partial differential equations of elliptic and parabolic type. In particular, applications to the existence theory of nonlinear parabolic equations, nonlinear Fokker-Planck equations, phase transition and free boundary problems are presented in details. Emphasis is put on functional methods in partial differential equations (PDE) and less on specific results.

English | 2021 | ISBN: 9811662967 | 265 pages | True PDF EPUB | 32.55 MB
This book discusses delay and integro-differential equations from the point of view of the theory of functional differential equations. This book is a collection of selected papers presented at the international conference of Functional Differential Equations and Applications (FDEA-2019), 7th in the series, held at Ariel University, Israel, from August 22-27, 2019. Topics covered in the book include classical properties of functional differential equations as oscillation/non-oscillation, representation of solutions, sign properties of Green's matrices, comparison of solutions, stability, control, analysis of boundary value problems, and applications. The primary audience for this book includes specialists on ordinary, partial and functional differential equations, engineers and doctors dealing with modeling, and researchers in areas of mathematics and engineering.

Symmetry Analysis of Differential Equations with Mathematica® by Gerd Baumann
English | PDF | 2000 | 532 Pages | ISBN : 0387985522 | 61.5 MB
The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations. The theoretical background of physics is illustrated by modem methods of computer algebra. The presentation of the material in the book is based on Mathematica 3.0 note books. The entire printed version of this book is available on the accompanying CD.

Periodic Integral & Pseudodifferential Equations with Numerical Approximation by Jukka Saranen
English | PDF | 2002 | 461 Pages | ISBN : 3540418784 | 29 MB
Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods.