Solving nonlinear singular pseudoparabolic equations with nonlocal mixed conditions in the reproducing kernel space

Abstract

We study the singular pseudoparabolic problems with nonlocal mixed conditions in the reproducing kernel space, in which all functions satisfy the nonlocal mixed conditions. Based on the reproducing kernel theorem, a very simple method for solving the singular pseudoparabolic problems with nonlocal mixed conditions is proposed. The final numerical experiment illustrates the method is efficient.

Keywords:

• singular
• pseudoparabolic problems
• nonlocal mixed conditions
• reproducing kernel space
• reproducing kernel theorem

2000 AMS Subject Classifications :

• 35L82
• 35K70
• 35B25

Notes

^†Research supported by Scientific Research Project of Heilongjiang Education Office (2009-11541098) (2009-11541097).