Results 271 to 280 of about 1,362,923 (320)

A Compendium of Partial Differential Equation Models: Method of Lines Analysis with Matlab

, 2009
A Compendium of Partial Differential Equation Models presents numerical methods and associated computer codes in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs), one of the mostly widely used forms of ...
W. Schiesser, G. Griffiths
semanticscholar   +1 more source

Fractal Solitons, Arbitrary Function Solutions, Exact Periodic Wave and Breathers for a Nonlinear Partial Differential Equation by Using Bilinear Neural Network Method

Journal of Systems Science and Complexity, 2020
Runfa Zhang, S. Bilige, T. Chaolu
semanticscholar   +1 more source

Applications to Partial Differential Equations

1971
Publisher Summary The applications of integral equations are not restricted to ordinary differential equations. The most important applications of integral equations arise in finding the solutions of boundary value problems in the theory of partial differential equations of the second order.
openaire   +2 more sources

COMPUTING THE CONVEX ENVELOPE USING A NONLINEAR PARTIAL DIFFERENTIAL EQUATION

, 2008
A fully nonlinear partial differential equation for the convex envelope was recently introduced by the author. In this paper, the equation is discretized using a finite difference method.
Adam M. Oberman
semanticscholar   +1 more source

Linear Partial Differential Equations

1957
Although we shall mainly be concerned in this Part with differential equations, the methods we use here for their discussion and solution are intimately connected with the geometry of the rest of the volume. In particular, the results obtained depend to a great extent on the theory of modules and the intersections of a set of algebraic varieties ...
openaire   +3 more sources

Partial Differential Equations II

2002
Partial differential equations of the form $$k{\partial \over {\partial t}}u(r,t) = \nabla ^2 u(r,t)$$ (diffusion equation) and $${{\partial ^2 } \over {\partial t^2 }}u(r,t) = c^2 \nabla ^2 u(r,t)$$ (wave equation) are amenable to the use of the Laplace transform.1 Indeed, on taking the Laplace transform of the former, we get ...
openaire   +3 more sources

Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types

Nonlinear dynamics, 2021
Xing Lü, Sijia Chen
semanticscholar   +1 more source

Differential games with partial differential equations

1975
Examples of differential games are given, where the state equation is a partial differential equation. They can be solved explicitly and show clearly how the values of the control functions enter in the solution. This enables us to set up a method of solving these games, which should also be applied to more complicated differential games, complementing
openaire   +2 more sources

Partial Differential Equations

1995
Introduction The modelling of Chapter 3 culminates in the formulation of the pricing problem for a derivative product as a partial differential equation. We now take a break from the financial modelling to discuss, in this and the next chapter, some of the theory behind such differential equations.
Jeff Dewynne, Sam Howison, Paul Wilmott
openaire   +2 more sources

A general memristor-based partial differential equation solver

Nature Electronics, 2018
Mohammed Affan Zidan, Yeonjoo Jeong, Jihang Lee, Bing Chen, Shuo Huang, M. Kushner, W. Lu   +6 more
semanticscholar   +1 more source