finite difference solution to multivariate, linear boundary problems
This function finds approximate solution to boundary value problems
generated by a system of time-dependent,
linear, first order diferential equations
and linear boundary conditions
by using the finite difference method.
The general form of the problems adressed is
d(t) .* x'(t) + L(t) * x(t) = z(t)
b_i * x(t_i) = w_i for i=1,2,...,m
where
t is a variable (time)
x(t) is a column vector of m unknown functions x_1(t),...,x_m(t)
' means differentiation with respect to t
t_i and w_i (i=1,2,...,m) are known scalars
b_i (i=1,2,...,m) are known row vectors of size 1*m
d(t), c(t) and z(t) are t-dependent column vectors
L(t) is a t-dependent matrix of size m*m
Cite As
Peter Varkonyi (2024). finite difference solution to multivariate, linear boundary problems (https://www.mathworks.com/matlabcentral/fileexchange/58599-finite-difference-solution-to-multivariate-linear-boundary-problems), MATLAB Central File Exchange. Retrieved .
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- Mathematics and Optimization > Partial Differential Equation Toolbox > Domain-Specific Modeling > Structural Mechanics >
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