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It happens when the solution for the equation is periodic and contains oscillatory functions such as cos, sin and their combinations.
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Why you need the numerical solution of partial differential equations?
Very often because no analytical solution is available.
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.
Which numerical method for solving differential equations methods gives the most inaccurate result?
Euler's Method (see related link) can diverge from the real solution if the step size is chosen badly, or for certain types of differential equations.
What is the theory of finite differential method?
Finite Differential Methods (FDM) are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What has the author Simeon Ola Fatunla written?
Simeon Ola Fatunla has written: 'Numerical integrators for stiff and highly oscillatory differential equations' -- subject(s): Differential equations, Numerical integration, Numerical solutions, Stiff computation (Differential equations)
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 is a numerical solution of a partial differential equation?
Some partial differential equations do not have analytical solutions. These can only be solved numerically.
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
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
What has the author Jerrold Stephen Rosenbaum written?
Jerrold Stephen Rosenbaum has written: 'Numerical solution of stiff systems of ordinary differential equations with applications to electronic circuits' -- subject(s): Differential equations, Electronic circuits, Numerical solutions, Stiff computation (Differential equations)
What has the author J L Blue written?
J. L Blue has written: 'B2DE' -- subject(s): Computer software, Differential equations, Elliptic, Differential equations, Nonlinear, Differential equations, Partial, Elliptic Differential equations, Nonlinear Differential equations, Partial Differential equations
What has the author Leon Lapidus written?
Leon Lapidus has written: 'Numerical solution of ordinary differential equations' -- subject(s): Differential equations, Electronic data processing, Numerical analysis, Mathematics
What has the author Laurent Veron written?
Laurent Veron has written: 'Singularities of solutions of second order quasilinear equations' -- subject(s): Differential equations, Elliptic, Differential equations, Nonlinear, Differential equations, Parabolic, Elliptic Differential equations, Nonlinear Differential equations, Numerical solutions, Parabolic Differential equations, Singularities (Mathematics)
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 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)
