DOES EQUATIONSTOMATRIX EXIST IN MATLAB 2012 SERIES

We use the symbolic computation package Matlab to obtain the algebraic operations for the truncated series approximation. The SM has also been very successful to solve any kind of DE problems, including integro-differential problems, with Newman boundary values, and nonlinear PDE. This has been used to solve PDE using polynomial interpolation function with an orthogonal basis such as Fourier, Chebyshev, or Legendre functions. The SM with collocation points (SMCP) is a numerical technique applied to solve linear and nonlinear differential equations with high accurate approximations to the solution. In this work we compare the spectral method (SM) with the PSS method solving three versions of nonlinear time-dependent Burgers-type equations because we know that the SM is the more accurate numerical method. It is known that in nonlinear PDE (NLPDE) this procedure is not possible. Some examples of these are the Legendre polynomials and the spherical harmonics used in LaplaceвЂ™s equations in spherical coordinates or in BesselвЂ™s equations in cylindrical coordinates. Linear PDE have traditionally been solved using the separation of variables method because it permits obtaining a coupled system of ODE easier to solve with the PSS method. Power series solution (PSS) method is an old method that has been limited to solve linear differential equations, both ordinary differential equations (ODE) and partial differential equations (PDE). The method is applied to solve three versions of nonlinear time-dependent Burgers-type differential equations in order to demonstrate its scope and applicability. In this work we use the method of power series to solve nonlinear partial differential equations.

However, despite their usefulness the application of this method has been limited to this particular kind of equations.

Power series solution method has been traditionally used to solve ordinary and partial linear differential equations.

Does equationstomatrix exist in matlab 2012