


Paper's Title:
Numerical Solution of A System of Singularly Perturbed ConvectionDiffusion BoundaryValue Problems Using Mesh Equidistribution Technique
Author(s):
Pratibhamoy Das and Srinivasan Natesan
Department of Mathematics,
Indian Institute of Technology Guwahati,
Guwahati  781 039,
India.
pratibhamoy@gmail.com
natesan@iitg.ernet.in
URL:
http://www.iitg.ernet.in/natesan/
Abstract:
In this article, we consider a system of singularly perturbed weakly coupled convectiondiffusion equations having diffusion parameters of different magnitudes. These small parameters give rise to boundary layers. An upwind finite difference scheme on adaptively generated mesh is used to obtain a suitable monitor function that gives firstorder convergence which is robust with respect to the diffusion parameters. We present the results of numerical experiments for linear and semilinear system of differential equations to support the effectiveness of our preferred monitor function obtained from theoretical analysis.
Paper's Title:
Fractional class of analytic functions Defined Using qDifferential Operator
Author(s):
K . R. Karthikeyan, Musthafa Ibrahim and S. Srinivasan
Department of Mathematics and
Statistics,
Caledonian College of Engineering, Muscat,
Sultanate of Oman.
Email: kr_karthikeyan1979@yahoo.com
College of Engineering,
University of Buraimi, Al Buraimi,
Sultanate of Oman.
Email: musthafa.ibrahim@gmail.com
Department of Mathematics, Presidency
College (Autonomous),
Chennai600005, Tamilnadu,
India.
Abstract:
We define a qdifferential fractional operator, which generalizes Salagean and Ruscheweyh differential operators. We introduce and study a new class of analytic functions involving qdifferential fractional operator. We also determine the necessary and sufficient conditions for functions to be in the class. Further, we obtain the coefficient estimates, extreme points, growth and distortion bounds.
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