Handbook of First-Order Partial Differential EquationsCRC Press, 15.11.2001 - 520 Seiten This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. Each section outlines basic solution methods for the differential equations in that section. The text presents equations and their applications in areas such as differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, and wave theory. This handbook is essential for researchers, engineers and students of applied mathematics, mechanics, control theory, and the engineering sciences. |
Inhalt
Linear Equations With Three or More Independent Variables | 139 |
Nonlinear Equations | 259 |
Solution of Differential Equations Through the CONVODE Software | 469 |
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Handbook of First-Order Partial Differential Equations Andrei D. Polyanin,Valentin F. Zaitsev,Alain Moussiaux Eingeschränkte Leseprobe - 2001 |
Häufige Begriffe und Wortgruppen
8ac 6 y 8ac ðy 8w k 8w 8w ôw A. D. Polyanin arccos arcsin arctan aw aw aw ax aw ay awax awaz ax ay Cauchy problem characteristic system Coefficients of Equations Complete integral considered a parameter Contain Arbitrary Functions CONVODE cosh coth ðy Öz ðy Principal integral Equations Contain Arbitrary Equations Contain Hyperbolic ho(x Hyperbolic Functions independent variables initial condition Integral basis integral in implicit Kamke ôac ordinary differential equations ôw 8w ôw ôw ow ox owox owoy Öz General solution P(ul partial differential equation particular solution sin(Xa ſº solution of equation Subsection substitution tanh transformation V. F. Zaitsev viscosity solution xxx xxx xxx xxxx y General solution