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. At the beginning of each section, basic solution methods for the corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences. |
Inhalt
Equations Containing One Derivative | 3 |
122 | 5 |
Nonlinear Equations With Two Independent Variables of General Form | 14 |
24 | 120 |
Linear Equations of the Form fi 3 + 2 + 3 f4w+f5 fn fnx y z | 225 |
Linear Equations With Four or More Independent Variables | 250 |
Quasilinear Equations of the Form fx y w + gx y w w hx y | 273 |
Linear Equations of the Form fx y + gx y h₁x yw + họx | 281 |
hx y | 331 |
მო მu | 339 |
sx y | 357 |
y w w² + gx y w w hx y w 356 | 382 |
Supplement Solution of Differential Equations Through the CONVODE Software | 469 |
Examples of Solving Partial Differential Equations | 481 |
How to Use CONVODE | 490 |
497 | |
Andere Ausgaben - Alle anzeigen
Handbook of First-Order Partial Differential Equations Andrei D. Polyanin,Valentin F. Zaitsev,Alain Moussiaux Eingeschränkte Leseprobe - 2001 |
Häufige Begriffe und Wortgruppen
A. D. Polyanin a₁ arccot arcsin arctan aw aw aw Əz ax² ay² b₁ b₂ bx-ay bx² by² C₁ C₁x C₂ Cauchy problem characteristic system Coefficients of Equations Complete integral considered a parameter Contain Arbitrary Functions cosh cosh(x coth Equations Contain Arbitrary Equations Contain Hyperbolic Əz General solution fi(x go(x h₁(x h₂(x h₂(y ho(x Hyperbolic Functions Integral basis Kamke linear ordinary differential equation Principal integral sin(x sinh ẞx ẞy Subsection tanh u₁ u₂ V. F. Zaitsev variables y-ax Zaitsev and A. D. Þ(bx αλ λα όμ მ მყ მა მო მა მყ მე მყ მთ მა მთ მთ მთ მო მყ მთ მყ მი მო მა მო მთ მო მო მო მყ მუ მყ მთ მყ მო Ալ
Verweise auf dieses Buch
Handbook of Linear Partial Differential Equations for Engineers and Scientists Andrei D. Polyanin Keine Leseprobe verfügbar - 2001 |
Handbook of Nonlinear Partial Differential Equations Andrei D. Polyanin,Valentin F. Zaitsev Keine Leseprobe verfügbar - 2003 |