Spectral Method Solution Of Volterra Integral Equations Via Third Kind Chebyshev

Contents1 General Introduction 11.1 Background of Study . . . . . . . . . .11.2 Integral Equation . . . . . . . . . .......21.2.1 Fredholm integral equation . . .31.2.2 Volterra integral equation . . . . 41.3 Polynomials . . . . . . . . . . . . . . . . . 41.4 Orthogonal Polynomials . . . . . . .51.5 Chebyshev Polynomials . . . . . . . 61.5.1 Chebyshev polynomial of the first kind Tr(x) . . . . . 61.5.2 Chebyshev polynomial of second kind Ur(x) . . . . . 61.5.3 Chebyshev polynomials of third-kind Vr(x) . . . . . . 71.5.4 Fourth kind Chebyshev polynomial Wr(x) . . . . . . . 71.6 Shifted Chebyshe…