Numerical solution of a non-classical parabolic problem: An integro-differential approach

Applied Mathematics and Computation

Volumn 175, Issue 2, 2006, Pages 969-979

  Ang, Whye Teong ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Integro differential equation; Local interpolating functions; Non classical conditions; Parabolic equation

Indexed keywords

APPROXIMATION THEORY; INTERPOLATION; MATHEMATICAL TECHNIQUES; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

LOCAL INTERPOLATING FUNCTIONS; NON-CLASSICAL CONDITIONS; NON-CLASSICAL PARABOLIC PROBLEM; PARABOLIC EQUATIONS;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 33645880408     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.08.011     Document Type: Article

References (8)

1. Day W.A. Extension of a property of the heat equation to linear thermoelasticity and other theories. Quarterly of Applied Mathematics 40 (1982) 319-330
2. Day W.A. A decreasing property of solutions of parabolic equations with applications to thermoelasticity. Quarterly of Applied Mathematics 41 (1983) 468-475
3. Cannon J.R., Lin Y., and Wang S. An implicit finite difference scheme for the diffusion equation subject to mass specification. International Journal of Engineering Science 28 (1990) 573-579
4. Cannon J.R., and van der Hoek J. An implicit finite difference scheme for the diffusion equation subject to the specification of mass in a portion of the domain. In: Noye J. (Ed). Numerical Solutions of Partial Differential Equations (1982), North-Holland Publishing, Amsterdam 527-537
5. Dehghan M. Numerical solution of a parabolic equation subject to specification of energy. Applied Mathematics and Computation 149 (2004) 31-45
6. Dehghan M. Efficient techniques for the second order parabolic equation subject to nonlocal specifications. Applied Numerical Mathematics 52 (2005) 39-62
7. Liu Y. Numerical solution of the heat equation with nonlocal boundary conditions. Journal of Computational and Applied Mathematics 110 (1999) 115-127
8. Zhang Y., and Zhu S. On the choice of interpolation functions used in the dual-reciprocity boundary-element method. Engineering Analysis with Boundary Elements 13 (1994) 387-396