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What is a numerical solution of a partial differential equation?
Wiki User
∙ 12y ago
Some partial differential equations do not have analytical solutions. These can only be solved numerically.
Wiki User
∙ 9y ago
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Why you need the numerical solution of partial differential equations?
Very often because no analytical solution is available.
What are the steps on solving equations?
The answer will depend very much on the nature of the equation. The steps required for a one-step equation are very different from the steps required for a partial differential equation. For some equations there are no straightforward analytical methods of solution: only numerical methods.
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.
Heat equation partial differential?
Yes, it is.
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 which is the precursor of Bellman Ford algorithm in CS.
Why you need the numerical solution of partial differential equations?
Very often because no analytical solution is available.
What has the author Tarek P A Mathew written?
Tarek P. A. Mathew has written: 'Domain decomposition methods for the numerical solution of partial differential equations' -- subject(s): Decomposition method, Differential equations, Partial, Numerical solutions, Partial Differential equations
What has the author Halina Montvila written?
Halina Montvila has written: 'On the convergence of the numerical solution for a certain partial differential equation of third order' -- subject(s): Accessible book
What are the steps on solving equations?
The answer will depend very much on the nature of the equation. The steps required for a one-step equation are very different from the steps required for a partial differential equation. For some equations there are no straightforward analytical methods of solution: only numerical methods.
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.
What is monge's Method?
Monge's method, also known as the method of characteristics, is a mathematical technique used to solve certain types of partial differential equations. It involves transforming a partial differential equation into a system of ordinary differential equations by introducing characteristic curves. By solving these ordinary differential equations, one can find a solution to the original partial differential equation.
What has the author Granville Sewell written?
Granville Sewell has written: 'The numerical solution of ordinary and partial differential equations' -- subject(s): Data processing, Differential equations, Mathematics, Nonfiction, Numerical solutions, OverDrive, Partial Differential equations 'Computational Methods of Linear Algebra' -- subject(s): OverDrive, Mathematics, Nonfiction
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
What has the author S H Lui written?
S. H. Lui has written: 'Numerical analysis of partial differential equations' -- subject(s): Partial Differential equations, Numerical solutions
Heat equation partial differential?
Yes, it is.
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 Differential equations, Theory of distributions (Functional analysis)
Example of total partial and original differential equation?
An ordinary differential equation (ODE) has only derivatives of one variable.
