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Runge Kutta method (RKM) for solving initial value problems (IVP's) of arbitraty order for finite element problems in MATLAB.

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JohannesReimer/matlab-rkm-fem

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Runge-Kutta methods for solving initial value problems for FE problems with MATLAB

Purpose

This code solves any initial value problem (IVP) of arbitraty order for finite element (FE) problems using a Runge Kutta method (RKM) spcified by a Butcher tableau or method name.

Limitations

Currently, only non-adaptive RKM are supported. Solution algorithms are currently only given for explicit (not for implicit) problems. The latter will later be implemented using the Newton-Raphson-algorithm to solve the system of equations at every stage of the RKM.

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Runge Kutta method (RKM) for solving initial value problems (IVP's) of arbitraty order for finite element problems in MATLAB.

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