New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.
The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more ...
What is U(v) if s(t) = Vt F1 – 1? . Consider the conservation law b u(x,t) da = #"a t)” – u(b, t)*]+ / g(v) day, d b di J. 1 where g is a discontinuous source term given by g(a) = 1 if a > # and g(x) = C = const if c < #.
The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more ...
(B) CDRIV and SDRIV, see D. Kahaner, C. Moler, and S. Nash, Numerical Methods and Software, Prentice—Hall Inc., Englewood Cliffs, NJ, 1989. (C) DEPAC: Code developed by L. Shampine and H. A. Watts. (D) FISHPAK: Code developed by P. N. ...
Nonlinear dispersive waves and variational principles , in Differential Geometry , Calculus of Variations and Their Applications , ( ed . ... Recent applications of fractional calculus to science and engineering , Internat . J. Math .
Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 ...
The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.
The new edition of this bestselling handboo
This is the second edition of the now definitive text on partial differential equations (PDE).
This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit ...