private Dictionary <EquationsEnum, Func <Settings, int, int, double> > GetMatrixAInits()
{
var result = new Dictionary <EquationsEnum, Func <Settings, int, int, double> >();
result.Add(EquationsEnum.Equation_1, (settings, i, j) =>
{
j++;
return(FredholmEquationFirstOrder.Calculate_Aij(settings.PartitionPoints, settings.ColocationPoints, i, j));
});
result.Add(EquationsEnum.Equation_2, (settings, i, j) =>
{
j++;
return((settings.PartitionPoints[j] - settings.PartitionPoints[j - 1]) * FredholmEquationFirstOrder.Calculate_Aij(settings.PartitionPoints, settings.ColocationPoints, i, j));
});
result.Add(EquationsEnum.Equation_3, (settings, i, j) =>
{
j++;
var h = settings.PartitionPoints[j] - settings.PartitionPoints[j - 1];
return(1 / (2 * Math.PI) * (GaussMethodForIntegrals.CalculateWithAccuracy(settings.PartitionPoints[j - 1], settings.PartitionPoints[j],
new MathExpression($"(t-{FixMinus(settings.PartitionPoints[j - 1])})/{h}*ln(1/({settings.FunctionDistance}))"),
0.001, new Var(settings.Variables[0], 0), new Var(settings.Variables[1], settings.ColocationPoints[i])) +
GaussMethodForIntegrals.CalculateWithAccuracy(settings.PartitionPoints[j], settings.PartitionPoints[j + 1],
new MathExpression($"({FixMinus(settings.PartitionPoints[j + 1])}-t)/{h}*ln(1/({settings.FunctionDistance}))"),
0.001, new Var(settings.Variables[0], 0), new Var(settings.Variables[1], settings.ColocationPoints[i]))));
});
result.Add(EquationsEnum.Equation_4, (settings, i, j) =>
{
j++;
if (i == (j - 1))
{
return(settings.Radius.Value / (2 * Math.PI) * (FredholmEquationFirstOrder.Calculate_Aij(settings.PartitionPoints, settings.ColocationPoints, i, j) - Math.Log(settings.Radius.Value) *
Math.Abs(settings.IntervalOfIntegration.Item2 - settings.IntervalOfIntegration.Item1) / settings.AmountOfPartitions +
GaussMethodForIntegrals.CalculateWithAccuracy(settings.PartitionPoints[j - 1], settings.PartitionPoints[j],
new MathExpression($"ln(1/({settings.FunctionDistance}))-ln(1/({settings.Radius.Value}*abs(t-{settings.ColocationPoints[i]})))"),
0.001, new Var(settings.Variables[0], 0), new Var(settings.Variables[1], settings.ColocationPoints[i]), new Var(settings.Variables[2], settings.Radius.Value))));
}
else
{
return(settings.Radius.Value / (2 * Math.PI) * (GaussMethodForIntegrals.CalculateWithAccuracy(settings.PartitionPoints[j - 1], settings.PartitionPoints[j],
new MathExpression($"ln(1/({settings.FunctionDistance}))"),
0.001, new Var(settings.Variables[0], 0), new Var(settings.Variables[1], settings.ColocationPoints[i]), new Var(settings.Variables[2], settings.Radius.Value))));
}
});
return(result);
}
private Dictionary <EquationsEnum, Func <Settings, int, double> > GetMatrixBInits()
{
var result = new Dictionary <EquationsEnum, Func <Settings, int, double> >();
result.Add(EquationsEnum.Equation_1, (settings, i) => settings.FunctionF.Calculate(settings.ColocationPoints[i]));
result.Add(EquationsEnum.Equation_2, (settings, i) =>
{
i++;
return(GaussMethodForIntegrals.CalculateWithAccuracy(settings.PartitionPoints[i - 1], settings.PartitionPoints[i], settings.FunctionF,
0.001, new Var(settings.Variables[1], 0)));
});
result.Add(EquationsEnum.Equation_3, (settings, i) => settings.FunctionF.Calculate(settings.PartitionPoints[i]));
result.Add(EquationsEnum.Equation_4, (settings, i) => settings.FunctionF.Calculate(settings.ColocationPoints[i]));
return(result);
}
