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[DOC File]The MATLAB Notebook v1.5.2
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A new feature of MATLAB 6.0 is a built-in solver for partial differential equations in one space dimension (as well as time t). To find out more about it, read the online help on pdepe. The instructions for use of pdepe are quite explicit but somewhat complicated.
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[DOC File]Using dsolve for numerical integration of differential ...
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To solve this numerically we need to turn our second-order equation into two first-order equations. They look like this , and . ***** Be sure you understand this process of turning a single second-order equation into two first-order equations! ***** Along with the differential …
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[DOC File]Partial Differential Equations in Two or More Dimensions
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You need to find sufficient equations to solve for your unknown(s). The equations you might use are the conservation equations (mass, momentum, and energy balance) in the appropriate form, the relationship between friction factor f, Reynolds number NRe, and relative pipe roughness (/D, and definitions that relate energy loss to friction factor ...
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[DOC File]Partial Differential Equations in Two or More Dimensions
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This equation and the friction factor expression, equation (6.2-5), are used in the Matlab program listed in Table 6.3-3. For wrought iron with a diameter of 40 mm., we have the roughness ( = 0.045 mm.
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[DOC File]MATLAB Symbolic Mathematics Tutorial
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Solution of equations: The symbolic toolbox in MATLAB is capable of solving many types of equations, including non-linear ones and several simultaneous equations. See: >> help sym/solve. The steps in solving one or more equations using “solve” are: Step 1: Define the variables in the equations as symbolic using the “syms” command.
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[DOC File]Using MATLAB’s Differential Equation Solver
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Solving two ODE’s simultaneously. 1. Write both ODE’s in the form . For our example, the equations are . On paper, set up a vector that will contain all of the functions for which you want to solve. This vector will have a corresponding first derivative vector that holds the derivative functions from step 1. For our example we will use the ...
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[DOC File]Chapter 1: Systems of Linear Equations and Matrices
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Software for the solution of linear systems (including the choice of which elementary operations to perform) is available commercially, (for example, in "Matlab"). Consider the system . ax + by = c lx + my = p Geometrically, in (2 , these equations represent two lines.
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[DOC File]The MATLAB Notebook v1.5.2
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Solving Equations. The plot of f indicates that there are two solutions to the equation f(x)=0, one of which is clearly 0. We have both solve, a symbolic equation solver, and fzero, a numerical equations solver, at our disposal. Let us illustrate solve first, but with an easier example. g=x^2-7*x+2 . groots=solve(g)
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Matlab solve two equations