# Results for: partial-differential-equation

### What is the difference between an ordinary differential equation and a partial differential equation?

ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable. Full Answer

### What is a numerical solution of a partial differential equation?

Some partial differential equations do not have analytical solutions. These can only be solved numerically. Full Answer

### Example of total partial and original differential equation?

An ordinary differential equation (ODE) has only derivatives of one variable. Full Answer

### What are the applications of partial differential equations in computer science?

All the optimization problems in Computer Science have a predecessor analogue in continuous domain and they are generally expressed in the form of either functional differential equation or partial differential equation. A classic example is the Hamiltonian Jacobi Bellman equation… Full Answer

### What is nonlinear ordinary differential equation?

An ordinary differential equation is an equation relating the derivatives of a function to the function and the variable being differentiated against. For example, dy/dx=y+x would be an ordinary differential equation. This is as opposed to a partial differential equation… Full Answer

### In mathematics what does the abbreviation PDE stand for?

The abbreviation PDE stands for partial differential equation. This is different from an ordinary differential equation in that it contains multivariable functions rather than single variables. Full Answer

### Where you use Partial Differential Equation in your daily life?

It's all around you, starting with equation of diffusion and ending with equation of propagation of sound and EM waves. Full Answer

### Why is the partial differential equation important?

Partial differential equations are great in calculus for making multi-variable equations simpler to solve. Some problems do not have known derivatives or at least in certain levels in your studies, you don't possess the tools needed to find the derivative… Full Answer

### Are there any applications of poisson's equation?

Poisson's equation is a partial differential equation of elliptic type. it is used in electrostatics, mechanical engineering and theoretical physics. Full Answer

### What has the author David L Colton written?

David L. Colton has written: 'Analytic theory of partial differential equations' -- subject(s): Differential equations, Partial, Numerical solutions, Partial Differential equations 'Partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations Full Answer

### What has the author Fritz John written?

Fritz John has written: 'Partial differential equations, 1952-1953' -- subject(s): Differential equations, Partial, Partial Differential equations 'Fritz John collected papers' 'Partial differential equations' 'On finite deformations of an elastic material' 'Plane waves and spherical means applied to partial differential equations'… Full Answer

### What has the author George Francis Denton Duff written?

George Francis Denton Duff has written: 'Partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations 'Differential equations of applied mathematics' -- subject(s): Differential equations, Differential equations, Partial, Mathematical physics, Partial Differential equations Full Answer

### Syllabus for 3rd sem transforms and partial differential equation?

send me the tpde may/june questine paper Full Answer

### What has the author Elemer E Rosinger written?

Elemer E. Rosinger has written: 'Generalized solutions of nonlinear partial differential equations' -- subject(s): Differential equations, Nonlinear, Differential equations, Partial, Nonlinear Differential equations, Numerical solutions, Partial Differential equations 'Distributions and nonlinear partial differential equations' -- subject(s): Differential equations, Partial, Partial… Full Answer

### What has the author Faith Yao-yu Chao written?

Faith Yao-yu Chao has written: 'Existence and completeness of wave operators for differential operator perturbations' -- subject- s -: Differential equations, Differential equations, Partial, Hilbert space, Partial Differential equations, Spectral theory - Mathematics -, Wave equation Full Answer

### Uses of partial differential equation in civil engineering?

Civil engineers use partial differential equations in many different situations. These include the following: heating and cooling; motion of a particle in a resisting medium; hanging cables; electric circuits; natural purification in a stream. Full Answer

### What has the author Richard Haberman written?

Richard Haberman has written: 'Applied Partial Differential Equations' 'Elementary applied partial differential equations' -- subject(s): Boundary value problems, Differential equations, Partial, Fourier series, Partial Differential equations Full Answer

### What has the author G Evans written?

G. Evans has written: 'Analytic methods for partial differential equations' -- subject(s): Differential equations, Partial, Numerical solutions, Partial Differential equations Full Answer

### What is Exact ordinary differential equation?

exact differential equation, is a type of differential equation that can be solved directly with out the use of any other special techniques in the subject. A first order differential equation is called exact differential equation ,if it is the… Full Answer

### What has the author Robert Carmichael written?

Robert Carmichael has written: 'On the general theory of the integration of non-linear partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations Full Answer

### Why you need the differential equation in the field of engineering science and technology?

You need differential equations and partial differential equations to describe and predict the dynamic behaviour of systems. Newton and Laplace developed differential equations originally and simultaneously (using different notation) to work with gravity and the movement of the moon and… Full Answer

### What has the author Enzo Mitidieri written?

Enzo Mitidieri has written: 'Apriori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities' -- subject(s): Differential equations, Nonlinear, Differential equations, Partial, Inequalities (Mathematics), Nonlinear Differential equations, Partial Differential equations Full Answer

### What is parabolic heat equation?

The parabolic heat equation is a partial differential equation that models the diffusion of heat (i.e. temperature) through a medium through time. More information, including a spreadsheet to solve the heat equation in Excel, is given at the related link. Full Answer

### What has the author Lars Garding written?

Lars Garding has written: 'Cauchy's problem for hyperbolic equations' -- subject(s): Differential equations, Partial, Exponential functions, Partial Differential equations 'Applications of the theory of direct integrals of Hilbert spaces to some integral and differential operators' -- subject(s): Differential equations, Partial… Full Answer

### What are the Uses of Cauchy Euler equation?

One thing about math is that sometimes the challenge of solving a difficult problem is more rewarding than even it's application to the "real" world. And the applications lead to other applications and new problems come up with other interesting… Full Answer

### What has the author Sin-Chung Chang written?

Sin-Chung Chang has written: 'Solution of elliptic partial differential equations by fast Poisson solvers using a local relaxation factor' -- subject(s): Differential equations, Elliptic, Differential equations, Partial, Elliptic Differential equations, Partial Differential equations Full Answer

### What has the author P Quittner written?

P. Quittner has written: 'Superlinear parabolic problems' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations Full Answer