CANONICAL POLYNOMIAL SOLUTIONS OF ORDINARY DIFFERNTIAL EQUATIONS
Abstract
This research project investigates the construction of canonical polynomials for the solution of first order ordinary differential equation. A recurrence-based polynomial approximation method is developed and applied to efficiently determine these canonical polynomials. The study emphasizes both the derivation and implementation of the recurrence scheme, highlighting its effectiveness in approximating solutions to ordinary differential equations. Results demonstrates that the canonical polynomial approximation provides a reliable and computationally efficient approach for solving such equations.
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