MATLAB Mathematics - SERC - Index of

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5 Differential Equations solution values. Call deval at xc-eps(xc) and xc+eps(xc) to get the limit values at xc. The example plots the solution approximated at the mesh points selected by the solver: plot(sol.x,sol.y(1,:),sol.x,sol.y(2,:),'--') legend('v(x)','C(x)') title('A three-point BVP solved with BVP4C') xlabel(['\ λ = ',num2str( λ), ... ', \ κ = ',num2str( κ),'.']) ylabel('v and C') 5-88
Partial Differential Equations Partial Differential Equations This section describes how to use MATLAB to solve initial-boundary value problems for partial differential equations (PDEs). It provides: • A summary of the MATLAB PDE functions and examples • An introduction to PDEs • A description of the PDE solver and its syntax • General instructions for representing a PDE in MATLAB, including an example • Instructions on evaluating the solution at specific points • A discussion about changing default integration properties • An example of solving a real-life problem PDE Function Summary MATLAB PDE Solver This is the MATLAB PDE solver. PDE Initial-Boundary Value Problem Solver pdepe Solve initial-boundary value problems for systems of parabolic and elliptic PDEs in one space variable and time. PDE Helper Function PDE Helper Function pdeval Evaluate the numerical solution of a PDE using the output of pdepe. PDE Examples These examples illustrate some problems you can solve using the MATLAB PDE solver. Click the example name to see the code in an editor. Type the example name at the command line to run it. 5-89
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MATLAB® The Language of Technical
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Revision History June 2004 First pr
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2 Polynomials and Interpolation Pol
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Introduction to Initial Value ODE P
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1 Matrices and Linear Algebra Funct
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2 Polynomials and Interpolation Cal
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2 Polynomials and Interpolation 2-3
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3 Fast Fourier Transform (FFT) Intr
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3 Fast Fourier Transform (FFT) 200
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3 Fast Fourier Transform (FFT) 2 x
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3 Fast Fourier Transform (FFT) 500
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3 Fast Fourier Transform (FFT) Func
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4 Function Functions Function Summa
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4 Function Functions You can also c
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4 Function Functions 25 20 15 10 5
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4 Function Functions To try fminsea
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4 Function Functions Plotting the R
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5 Differential Equations Initial Va
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5 Differential Equations dydt(i+1,:
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6 Sparse Matrices 0 Original 0 Reve
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6 Sparse Matrices QR Factorization
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6 Sparse Matrices shows that A has
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6 Sparse Matrices Functions for Ite
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6 Sparse Matrices set up the five-p
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6 Sparse Matrices Manipulating Spar
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6 Sparse Matrices Selected Bibliogr
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Index comparing sparse and full mat
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Index H hb1dae demo 5-35 hb1ode dem
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Index nonstiff ODE examples rigid b
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Index LU factorization 6-30 minimum
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Index twobvp demo 5-63 two-dimensio
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