Root Solving
Integration Functions
Math Functions
Finite Differencing
Utility Functions
Examples
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Root Solving
Newton-Raphson root finding function
[G, iter] = NSolve
(SysEq,G)
Integration Functions
Basic Runge-Kutta 4th order ODE solver
[yout, xout] = RK4
(dy, y0, xspan)
Math Functions
Hypergeometric functions used in Table 4-1 and Table 4-2 (req:
RK4)
[iF, F, dF, FF, xspan] = Fsph
(A,x)
Utility Functions
Maximum time step for explicit integration
[tauMin tau] = dtMax
(dT,Tref,t)
Logical select from arrays (req:
MatchSize)
result = iff
(test,trueVal,falseVal)
Logical select between functions
result = pick_fun
(x,logic,trueFun,falseFun)
Unpack an array function
[varargout] = Unpack
(G)
Returns A(j) if A is a vector, otherwise return the scalar A
Aj = Pick
(A,j)
Scale vectors up to same dimension
[varargout] = MatchSize
(varargin)
Merge first array into second array at indexed locations
V1 = MergeVec
(V1,indx,V2)
Retrieve the nth output in a function return list (already exists in octave)
out = nthargout
(n, varargin)
Examples
Numerical solution to the pin fin problem
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