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Green's functions and boundary value problems Stakgold I., Holst M.
Publisher: Wiley

Using this Demonstration, you can solve the PDE using the Chebyshev collocation method adapted for 2D problems. Chebyshev Collocation Method for 2D Boundary Value Problems. Semi-infinite cylindrical domains with curvilinear surfaces placed at infinity and subject to mixed boundary conditions on the plane boundaries are obtained. You can set the values of and . Consider the 2D boundary value problem given by , with boundary conditions and . Contributed by: Housam Binous, Brian G. The representations are given in the form of integral convolutions involving a Green's function for the parabolic heat conduction equation, as well as Green's function for the isothermal elastodynamics. The solution is shown as either a 3D plot or a contour plot. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. In math, solving such a differential equation subject to an initial conditions is called an "initial value problem" for this reason. He introduced the concept of a well-posed initial value and boundary value problem. Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.