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NTSC Technical Report 6659 27 May 1982IFD: An Implicit FiniteDifference Computer Model for Solving the Parabolic Equation Ding Lee George Bot seas Surface Ship Sonar DepartmentDTIC AELECTEDNaval Underwater
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Define the grid for the problem domain.
02
Set the initial conditions for the problem.
03
Choose appropriate boundary conditions.
04
Select the time step size and maximum number of time steps.
05
Set up the implicit finite-difference scheme to solve the problem iteratively.
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Iterate through each time step and solve the system of equations using a linear solver.

Who needs ifd an implicit finite-difference?

01
Engineers working on simulating heat transfer or fluid flow problems.
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Researchers studying numerical methods for solving partial differential equations.
03
Students learning about finite-difference methods in computational mathematics.
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An implicit finite-difference (IFD) method is a numerical technique used to solve partial differential equations.
Researchers, engineers, and scientists working in fields where partial differential equations are used.
IFD can be implemented using computer programming languages such as MATLAB, Python, or Fortran.
The purpose of IFD is to accurately approximate solutions to partial differential equations that may be difficult to solve analytically.
The input parameters, computational grid, boundary conditions, and time step information.
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