Parker-Sochacki method
Encyclopedia
In mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

, the Parker-Sochacki method is an algorithm
Algorithm
In mathematics and computer science, an algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function. Algorithms are used for calculation, data processing, and automated reasoning...

 for solving systems of differential equation
Differential equation
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders...

s, which has been developed by G. Edgar Parker and James Sochacki, of the James Madison University
James Madison University
James Madison University is a public coeducational research university located in Harrisonburg, Virginia, U.S. Founded in 1908 as the State Normal and Industrial School for Women at Harrisonburg, the university has undergone four name changes before settling with James Madison University...

 Mathematics Department. The method produces Maclaurin series solutions to systems of differential equations, with the coefficients in either algebraic or numerical form.
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