Equation Solving - Maple Features - Maplesoft


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Equation Solving

Maple can solve a wide range of equations and systems of equations. Maple employs different solving techniques:

Symbolic Methods for Exact, Closed-Form Solutions
Maple's symbolic solvers use state-of-the art algorithms for solving algebraic equations, including the F4 algorithm for computing Gröbner bases and a triangular set decomposition algorithm.

Maple allows you to:

Numeric Methods for Approximate Solutions
Maple's numeric solvers use industry-standard techniques for finding approximate solutions to equations, and include integrated solvers from the Numerical Algorithms Group (NAG).

Maple allows you to:

Hybrid Methods
Beyond simply applying standard numeric techniques, Maple extends the abilities and speed of its numeric solvers by applying a hybrid symbolic-numeric approach.

If a problem is in a form that cannot be solved by standard numerical or symbolic approaches, Maple attempts to transform the problem symbolically into an equivalent form, which is amenable to numerical methods.

Hybrid techniques are also employed to select appropriate starting values for numerical solvers, allowing them to arrive at an answer more quickly.

These hybrid approaches are fully integrated into the numeric solver algorithms and are applied automatically as needed.

Other Solvers
In addition to routines for algebraic equation solving, Maple has numerous specialized solvers including routines for differential equations, differential-algebraic equations, equations over the integers, equations over the integers mod m, recurrence equations, series solutions, and q-difference equations.