MATLAB Mathematics - SERC - Index of
MATLAB Mathematics - SERC - Index of MATLAB Mathematics - SERC - Index of
4 Function Functions “Anonymous Functions” on page 4-3 explains how to create anonymous functions. If you later decide to find a zero for different values of b and c, you must redefine the anonymous function using the new values. For example, b = 4; c = -1; fzero(@(x) poly(x, b, c), 0) ans = 0.2463 For more complicated objective functions, it is usually preferable to write the function as a nested function, as described in “Providing Parameter Values Using Nested Functions” on page 4-30. 4-32
5 Differential Equations Initial Value Problems for ODEs and DAEs (p. 5-2) Initial Value Problems for DDEs (p. 5-49) Boundary Value Problems for ODEs (p. 5-61) Partial Differential Equations (p. 5-89) Selected Bibliography (p. 5-106) Describes the solution of ordinary differential equations (ODEs) and differential-algebraic equations (DAEs), where the solution of interest satisfies initial conditions at a given initial value of the independent variable. Describes the solution of delay differential equations (DDEs) where the solution of interest is determined by a history function. Describes the solution of ODEs, where the solution of interest satisfies certain boundary conditions. The boundary conditions specify a relationship between the values of the solution at the initial and final values of the independent variable. Describes the solution of initial-boundary value problems for systems of parabolic and elliptic partial differential equations (PDEs) in one spatial variable and time. Lists published materials that support concepts described in this chapter. Note In function tables, commonly used functions are listed first, followed by more advanced functions. The same is true of property tables.
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5<br />
Differential Equations<br />
Initial Value Problems for ODEs and<br />
DAEs (p. 5-2)<br />
Initial Value Problems for DDEs<br />
(p. 5-49)<br />
Boundary Value Problems for ODEs<br />
(p. 5-61)<br />
Partial Differential Equations<br />
(p. 5-89)<br />
Selected Bibliography (p. 5-106)<br />
Describes the solution <strong>of</strong> ordinary differential equations<br />
(ODEs) and differential-algebraic equations (DAEs), where<br />
the solution <strong>of</strong> interest satisfies initial conditions at a given<br />
initial value <strong>of</strong> the independent variable.<br />
Describes the solution <strong>of</strong> delay differential equations<br />
(DDEs) where the solution <strong>of</strong> interest is determined by a<br />
history function.<br />
Describes the solution <strong>of</strong> ODEs, where the solution <strong>of</strong><br />
interest satisfies certain boundary conditions. The boundary<br />
conditions specify a relationship between the values <strong>of</strong> the<br />
solution at the initial and final values <strong>of</strong> the independent<br />
variable.<br />
Describes the solution <strong>of</strong> initial-boundary value problems<br />
for systems <strong>of</strong> parabolic and elliptic partial differential<br />
equations (PDEs) in one spatial variable and time.<br />
Lists published materials that support concepts described in<br />
this chapter.<br />
Note In function tables, commonly used functions are listed first, followed by<br />
more advanced functions. The same is true <strong>of</strong> property tables.