An accurate solution of parabolic equations by expansion in ultraspherical polynomials
نویسندگان
چکیده
منابع مشابه
Differential Equations for Symmetric Generalized Ultraspherical Polynomials
We look for differential equations satisfied by the generalized Jacobi polynomials { P n (x) }∞ n=0 which are orthogonal on the interval [−1, 1] with respect to the weight function Γ(α+ β + 2) 2α+β+1Γ(α+ 1)Γ(β + 1) (1− x)(1 + x) +Mδ(x+ 1) +Nδ(x− 1), where α > −1, β > −1, M ≥ 0 and N ≥ 0. In the special case that β = α and N = M we find all differential equations of the form ∞ ∑ i=0 ci(x)y (x) =...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1990
ISSN: 0898-1221
DOI: 10.1016/0898-1221(90)90139-b