Chaste Release::3.1
RungeKutta2IvpOdeSolver.cpp
00001 /*
00002 
00003 Copyright (c) 2005-2012, University of Oxford.
00004 All rights reserved.
00005 
00006 University of Oxford means the Chancellor, Masters and Scholars of the
00007 University of Oxford, having an administrative office at Wellington
00008 Square, Oxford OX1 2JD, UK.
00009 
00010 This file is part of Chaste.
00011 
00012 Redistribution and use in source and binary forms, with or without
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00015    this list of conditions and the following disclaimer.
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00022 
00023 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
00024 AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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00026 ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
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00034 */
00035 
00036 
00037 #include "RungeKutta2IvpOdeSolver.hpp"
00038 
00039 void RungeKutta2IvpOdeSolver::CalculateNextYValue(AbstractOdeSystem* pAbstractOdeSystem,
00040                                                   double timeStep,
00041                                                   double time,
00042                                                   std::vector<double>& rCurrentYValues,
00043                                                   std::vector<double>& rNextYValues)
00044 {
00045     /*
00046      * Apply Runge-Kutta 2nd order method for each timestep in AbstractOneStepIvpSolver.
00047      * Calculates a vector containing the next Y value from the current one for each
00048      * equation in the system.
00049      */
00050 
00051     const unsigned num_equations = pAbstractOdeSystem->GetNumberOfStateVariables();
00052 
00053     std::vector<double> k1(num_equations);
00054     std::vector<double>& dy = rNextYValues; // re-use memory
00055 
00056     // Work out k1
00057     pAbstractOdeSystem->EvaluateYDerivatives(time, rCurrentYValues, dy);
00058 
00059     for (unsigned i=0; i<num_equations; i++)
00060     {
00061         k1[i] = timeStep*dy[i];
00062         k1[i] = k1[i]/2.0 + rCurrentYValues[i];
00063     }
00064 
00065     // Work out k2 and new solution
00066     pAbstractOdeSystem->EvaluateYDerivatives(time+timeStep/2.0, k1, dy);
00067     for (unsigned i=0; i<num_equations; i++)
00068     {
00069         rNextYValues[i] = rCurrentYValues[i] + timeStep*dy[i];
00070     }
00071 }
00072 
00073 
00074 // Serialization for Boost >= 1.36
00075 #include "SerializationExportWrapperForCpp.hpp"
00076 CHASTE_CLASS_EXPORT(RungeKutta2IvpOdeSolver)