partial differential equation


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partial differential equation

[′pär·shəl ‚dif·ə′ren·chəl i‚kwā·zhən]
(mathematics)
An equation that involves more than one independent variable and partial derivatives with respect to those variables.
References in periodicals archive ?
In the above given references, it could be seen that the investigation of exact solutions of nonlinear partial differential equations played a significant role in the study of physical phenomena of nonlinear problems.
We now describe the generalized tanh-coth method for the given partial differential equations.
Sakawa: Controllability for partial differential equations of parabolic type, SIAM J.
Sextic spline solution for solving fourth-order parabolic partial differential equation.
Exact solutions for some nonlinear partial differential equations Phys.
We calculated the Ricci tensors of the spacetimes given in equation (4) and put them equal to zero we get the following system of four non-linear partial differential equations in unknown functions (eqs.
The 16 research and expository articles from the 2008-09 academic year represent various developments in nonlinear partial differential equations.
The new mesh generation routines will be of particular relevance to those working with multi-dimensional partial differential equations, particularly using Finite Element or Finite Volume methods.
Finite difference methods for partial differential equations
With a careful blend of theory and applications, the authors successfully bridge the gap between real analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and numerical analysis to provide a comprehensive foundation for understanding and analyzing core mathematical and computational modeling problems.
Measure theory is becoming increasingly important in many fields, and the studies here focus on its application to non-smooth spaces within the realm of partial differential equations.
Geometric analysis, mathematical relativity, and nonlinear partial differential equations.