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The project is focused on developing algorithms for solving stiff boundary value (BV) and initial value (IV) problems for ordinary differential equations (ODE).
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The project is focused on developing algorithms for solving stiff boundary value problems (BVP) and initial value problems (IVP) for ordinary differential equations (ODE).
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Currently it containes an implementation of a new algorithm for solving stif BVPs for the second order ODE's, such like the well known Troesch's problem.
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Currently it containes an implementation of a new algorithm for solving stiff BVPs for the second order ODE's, such like the well known Troesch's problem (which is an acknowledged banchmark for testing BVP solvers).
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The capabilities of the algorithm (lets call it SI-algorithm, which means "Straight-Inverse", although the name might change in future)
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allows to solve the Troesch problem for 'lambda = 100, 200, ... with precision 1e-8 within a few seconds (and this is in double precision !!!).
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For more information see this paper https://arxiv.org/abs/1601.04272
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allows it to solve the Troesch's problem for 'lambda = 100, 200, ... with precision 1e-8 within a few seconds (and this is in double precision !!!).
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For more information see this paper https://arxiv.org/abs/1601.04272 (draft)
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