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A nonlinear differential equation problem is studied as an example.
Equation (2.17) is called the resolvent equation problem.
For this process, the differential equation problem will be changed to a mathematical programming problem.
In this way, the differential equation problem becomes a mathematical programming problem.
For this process, the differential equation problem will be changed to mathematical programming problem.
Numerical simulation results are presented for a linear and a nonlinear one-dimensional heat equation problem.
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Among them, optimization problems, differential equation problems, integral equation problems, variational problems, equilibrium problems have attracted attention of researchers.
This paper considers the application of this method to the solution of nonlinear differential equation problems.
In fact, the gap functions are widely applied in optimization problems, equation problems, variational inequalities problems and others.
Numerical experiments show that the proposed scheme works very well for one-dimensional scalar equation problems but becomes less effective in one- and two-dimensional Euler equation problems.
Further study is required for the two-dimensional scalar equation problems.
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