𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solutions of the equation . Exact solutions of some partial differential equations in mechanics and physics

✍ Scribed by H. I. Abdel-Gawad

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
674 KB
Volume
14
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The solutions of the equation \documentclass{article}\pagestyle{empty}\begin{document}$ \partial _t^n f(x,t) = \hat L(x,t)f(x,t) + S(x,t) $\end{document}, for LΜ‚ a linear operator are derived. Different forms for LΜ‚ whether it is time independent or time dependent and self‐commutative (or not) at different times are considered separately. By using the results obtained, exact solutions of some partial differential equations are found for the first time.

πŸ“œ SIMILAR VOLUMES

Solution of a class of partial different
Solution of a class of partial differential equations. Some diffusion equations
✍ H. I. Abdel-Gawad πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 310 KB

## Abstract In this article we present the solution of linear partial differential equations of the form βˆ‚~__t__~__f__ = LΜ‚__f__, for initial value problems. Also the solution of some diffusion equations will be discussed.

Positive Radial Solutions of Some Nonlin
Positive Radial Solutions of Some Nonlinear Partial Differential Equations
✍ Hai Dang; RaΓΊl ManΓ‘sevich; Klaus Schmitt πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 399 KB

We consider Dirichlet boundary value problems for a class of nonlinear ordinary differential equations motivated by the study of radial solutions of equations which are perturbations of the p -Laplacian.

On Meromorphic Solutions of Some Algebra
On Meromorphic Solutions of Some Algebraic Partial Differential Equations onCn
✍ Zhen-Han Tu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 149 KB

Applying the techniques from Nevanlinna theory of value distribution theory of meromorphic functions on C n , we investigate the existence problem of some meromorphic solutions and obtain a satisfactory Malmquist type theorem for a class of algebraic partial differential equations on C n which impro

Solution of some partial differential eq
Solution of some partial differential equations using State space techniques
✍ Curtis W. Dodd; Someshwar C. Gupta πŸ“‚ Article πŸ“… 1969 πŸ› Elsevier Science 🌐 English βš– 730 KB

The spatial discretization technique for the solution of certain partial differential equatio>ls is discussed. After determining a valid mathematical representation for the canonical parabolic partial differential equation two methods of determining the stability of the resulting high order system o