New Properties of Modified Second Kind Chebyshev Polynomials
Semaa Hassan Aziz, Mohammed Rasheed, Suha SHIHAB
Abstract
Modified second kind Chebyshev polynomials for solving higher order differential equations are presented in this paper. This technique, along with some new properties of such polynomials, will reduce the original differential equation problem to the solution of algebraic equations with a straightforward and computational digital computer. Some illustrative examples are included. The modified second kind Chebyshev polynomial is calculated using only a small number of the modified second kind Chebyshev polynomials, which leads to attractive results.
Topics & Concepts
Chebyshev polynomialsChebyshev equationMathematicsChebyshev nodesEquioscillation theoremChebyshev filterClassical orthogonal polynomialsApplied mathematicsPolynomialChebyshev pseudospectral methodChebyshev iterationGegenbauer polynomialsOrthogonal polynomialsApproximation theoryJacobi polynomialsMathematical analysisIterative Methods for Nonlinear EquationsFractional Differential Equations SolutionsMathematical functions and polynomials