Publisher's Synopsis
MATLAB is a platform for scientific computing that allows to work in virtually all areas of experimental sciences and engineering. Logically, this software allows to work in the field of differential equations presenting quite extensive capabilities. The number of commands that implements relating to differential equations Matlab is quite high and very efficient. In addition, it is possible to continue with the program methods manual resolution algebraic already known for each type of differential equation. Approximate methods of resolution of equations, systems of differential equations and differential equations in partial derivatives are also implemented. This book addresses all these materials to develop the following topics: Introduction practices to matlab Numerical calculus with matlab Symbolic calculus with matlab Matlab and maple Graphics with matlab General notation Help with commands Escape and exit to the environment ms-dos commands Matlab and programming First order differential equations. Exact equations, separate variables, homogeneous and linear equations First order differential equations Equations in separated variables Homogeneous differential equations Exact differential equations Linear differential equations Differential equations of order superior. Transformed of laplace and special types of equations Ordinary high -order equations Linear higher-order equations. Homogeneous in constant coefficients equations. Equations in constant coefficient homogeneous. Variation of parameters Non-homogeneous equations with variable coefficients. Cauchy -euler equations Laplace transformed Orthogonal polynomials Bessel and airy functions Differential equations for aproximate methods Equations with superior order and grade, linear and nonlinear approximate methods Taylor series method Runge -kutta method Systems differential equations and equations in finite differences Systems homogeneous linear equations with constant coefficients Systems of equations and linear not homo disposed with constant coefficients Equations in finite differences Differential equations in partial derivatives Numerical calclus with matlab. Applications to differential equations Matlab and programming Text editor Scripts Functions and m-ficheros. Function, eval and feval Local and global variables Data types Bucles for, while e if elseif The for loop The while loop If elseif else end loop Switch and case Continue Break Try ... Catch Return Subfeatures Ordinary differential equations using methods of numerical calculus Euler method Heun method The taylor series method Equations in difference with the initial values, values on the border and in partial derivatives Solution numerical differential equations Ordinary differential equations with initial values Ordinary differential equations with values in the border Differential equations in partial derivatives
