Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations

• Published in: Abstract and Applied Analysis Vol. 2012; no. 1; pp. 1528 - 1536-298
• Main Authors: Niu, Jing, Lin, Yingzhen, Cui, Minggen
• Format: Journal Article
• Language: English
• Published: New York Hindawi Limiteds 01.01.2012; Hindawi Publishing Corporation; John Wiley & Sons, Inc; Wiley
• Subjects: Algorithms; Approximation; Boundary value problems; Computer programs; Finite element analysis; Integrals; Kernels; Mathematical analysis; Mathematical models; Studies

We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel space, an efficient algorithm is provided firstly to solve a three-point boundary value problem of parabolic equations with two-space integr...