Numerical examples of the AnalyticalApproximations`LdeApprox` package
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This notebook illustrates AnalyticalApproximations`LdeApprox` package capability of doing numerical polynomial approximation of an LDE solution.
This loads the package.
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Example 1
Initial value problem.
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Finding polynomial approximation for solution of the IVP.
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Using Mathematica function DSolve tot find exact solution of the IVP.
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Comparing exact and approximate results using Mathematica function Plot.
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Example 2
Initial value problem.
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Finding polynomial approximation for solution of the IVP.
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Using Mathematica function DSolve tot find exact solution of the IVP.
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Comparing exact and approximate results using Mathematica function Plot.
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Example 3
Initial value problem.
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Finding polynomial approximation for solution of the BVP.
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Using Mathematica function DSolve tot find exact solution of the BVP.
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Comparing exact and approximate results using Mathematica function Plot.
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Example 4
Boundary value problem.
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Finding polynomial approximation for solution of the BVP.
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Using Mathematica function DSolve tot find exact solution of the BVP.
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Comparing exact and approximate results using Mathematica function Plot.
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Example 5
Initial value problem.
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Finding polynomial approximation for solution of the IVP.
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Exact solution of the IVP.
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Comparing exact and approximate results using Mathematica function Plot.
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Example 6
Initial value problem.
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Finding polynomial approximation for solution of the IVP.
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Exact solution of the IVP.
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Comparing exact and approximate results using Mathematica function Plot.
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