The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 89-497
Full Name: Mohammad Siddique
Position: Associate Professor
Age: ON
Sex: Male
Address: 1200 Murchison Road, FSU, Fayetteville, NC 28301,
Country: UNITED STATES
Tel: 910 672 2436
Tel prefix:
Fax: 9106721070
E-mail address: msiddiqu@uncfsu.edu
Other E-mails:
Title of the Paper: Higher Order Modified Rannacher Smoothing Scheme for Two – Dimensional Diffusion Equations with Nonlocal Boundary Condition
Authors as they appear in the Paper: Mohammad Siddique
Email addresses of all the authors: msiddiqu@uncfsu.edu
Number of paper pages: 10
Abstract: The Rannacher smoothing technique uses first sub-diagonal and diagonal Padé schemes involve higher powers of the tridiagonal matrix, A which bring ill-conditioning into picture. This may cause computational difficulties and make the scheme computationally less efficient. We introduce the modified form of Rannacher smoothing technique by using the partial fraction decomposition techniques. The newly modified scheme is tested on three problems of two-dimensional parabolic partial differential equations with nonlocal boundary conditions. The graphical results show an excellent smoothing and numerical results prove the accuracy of these smoothing schemes.
Keywords: Parabolic Problems, Nonlocal boundary conditions, Positively smoothed Padé, Smoothed Padé, Inhomogeneous, Non-smooth data.
EXTENSION of the file: .doc
Special (Invited) Session: Rannacher Scheme for Two –Dimensional Diffusion Equations with Nonlocal Boundary Specification and Irregular Data
Organizer of the Session: 629-140
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