Chaste Commit::baa90ac2819b962188b7562f2326be23c47859a7
GRL1IvpOdeSolver.cpp
1/*
2
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19 * Neither the name of the University of Oxford nor the names of its
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23THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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34*/
35
36/*
37Megan E. Marsh, Raymond J. Spiteri
38Numerical Simulation Laboratory
39University of Saskatchewan
40December 2011
41Partial support provided by research grants from the National
42Science and Engineering Research Council (NSERC) of Canada
43and the MITACS/Mprime Canadian Network of Centres of Excellence.
44*/
45#include <cmath>
46#include "GRL1IvpOdeSolver.hpp"
47
49 double timeStep,
50 double time,
51 std::vector<double>& rCurrentYValues,
52 std::vector<double>& rNextYValues)
53{
54 /*
55 * Apply GRL1 first-order method for each time step in AbstractOneStepIvpSolver.
56 * Calculates a vector containing the next Y value from the current one for each
57 * equation in the system.
58 */
59 const double delta = 1.0e-8; // The step for numerical Jacobian calculation
60
61 const unsigned num_equations = pAbstractOdeSystem->GetNumberOfStateVariables();
62
63 if (mEvalF.size() != num_equations)
64 {
65 mEvalF.resize(num_equations);
66 mPartialF.resize(num_equations);
67 mTemp.resize(num_equations);
68 }
69
70 double tempY;
71
72 pAbstractOdeSystem->EvaluateYDerivatives(time, rCurrentYValues, mEvalF);
73 for (unsigned i=0; i<num_equations; i++)
74 {
75 tempY= rCurrentYValues[i];
76 rCurrentYValues[i]=tempY+delta;
77 pAbstractOdeSystem->EvaluateYDerivatives(time, rCurrentYValues, mTemp);
78 mPartialF[i]=(mTemp[i]-mEvalF[i])/delta;
79 rCurrentYValues[i]=tempY;
80 }
81 // New solution
82 for (unsigned i=0; i<num_equations; i++)
83 {
84 // std::cout<<"Partial F"<< mPartialF[i]<<std::endl;
85 if (fabs(mPartialF[i]) < delta)
86 {
87 rNextYValues[i] = rCurrentYValues[i]+mEvalF[i]*timeStep;
88 }
89 else
90 {
91 rNextYValues[i] = rCurrentYValues[i]+(mEvalF[i]/mPartialF[i])*(exp(mPartialF[i]*timeStep)-1);
92 }
93 }
94}
95
96// Serialization for Boost >= 1.36
#define CHASTE_CLASS_EXPORT(T)
virtual void EvaluateYDerivatives(double time, const std::vector< double > &rY, std::vector< double > &rDY)=0
std::vector< double > mEvalF
void CalculateNextYValue(AbstractOdeSystem *pAbstractOdeSystem, double timeStep, double time, std::vector< double > &rCurrentYValues, std::vector< double > &rNextYValues)
std::vector< double > mTemp
std::vector< double > mPartialF