Advances in Mathematics and Computer Science Vol. 3

Authors

Dr. Manuel Alberto M. Ferreira, (Editor)

Professor, Department of Mathematics, ISTA-School of Technology and Architecture, Lisbon University, Portugal.

Profile Link: https://goo.gl/rCBQoy

Short Biosketch

Mutili Peter Mutisya

School of Pure and Applied Sciences, Kenyatta University, Box 43844 – 00100, Nairobi, Kenya.

Awuor Kennedy Otieno

School of Pure and Applied Sciences, Kenyatta University, Box 43844 – 00100, Nairobi, Kenya.

T. L. Toulias

University ofWest Attica, Ag. Spyridonos Str. 28 (Campus 1), 12243 Egaleo, Athens, Greece.

C. P. Kitsos

University ofWest Attica, Ag. Spyridonos Str. 28 (Campus 1), 12243 Egaleo, Athens, Greece.

J. Vijayasekhar

Department of Mathematics, School of Science, GITAM Deemed to be University, Hyderabad, India.

Hymavathi Talla

Department of Mathematics, Krishna University Dr. MRAR PG Centre, Nuzvid, A.P., 521201, India.

J. K. Nthiiri

Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190- 50100, Kakamega, Kenya.

G. O. Lawi

Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190- 50100, Kakamega, Kenya.

Virender Singh

Department of Applied Mathematics, Galgotia college of Engineering and Technology, Greater Noida-201306, India.

Archna Sharma

SOVSAS Department of Applied Mathematics, Gautam Buddha University, Greater Noida-201312, India.

Mumtaz Ahmad Khan

Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India.

Abdul Hakim Khan

Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh{202002, India.

Silas A. Ihedioha

Department of Mathematics, Plateau State University, Bokkos, P.M.B. 2012, Jos, Plateau State, Nigeria.

Mahmoud M. El-Borai

Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt.

Khairia El-said El-Nadi

Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt.

Benedict Barnes

Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.

Francis Ohene Boateng

Department of Mathematics Education, University of Education, Winneba, Kumasi, Ghana.

Octav Olteanu

Department of Mathematics-Informatics, Politehnica University of Bucharest, Splaiul Independenței 313, 060042 Bucharest, Romania.

Synopsis

This book covers all areas of mathematics and computer science. The contributions by the authors include Investor, power utility, transaction costs, constant elasticity of variance, optimization, reproduction number, one dimensional Lie algebraic method, parabolic transform, partial differential equations, stochastic ill-posed problems, cauchy problem, Ill-posed problems Q-BVM, ill-posed Helmholtz equation, regularization methods, generalized γ-order normal distribution, multivariate t distribution, Kullback-Leibler divergence, Hellinger distance, turbulent natural convection, square enclosure, Rayleigh number, grashof number, schmidt number, porous medium, heat and mass transfer, visco-elastic fluid, porous medium, gamma matrix function, hypergeometric matrix function, three term matrix recurrence relation, Gegenbauer matrix differential equation, Gegenbauer matrix polynomials, orthogonal matrix Polynomials, Markov moment problem, truncated moment problem, inverse problems etc. This book contains various materials suitable for students, researchers and academicians in the field of mathematics and computer science.

Chapters

Chapter 1
A Numerical Study of Turbulent Natural Convection in a Square Enclosure Using a Two Equation Model

Mutili Peter Mutisya, Awuor Kennedy Otieno
Chapter 2
Information Distances and Divergences for the Generalized Normal Distribution

T. L. Toulias, C. P. Kitsos
Chapter 3
Vibrational Spectra of Linear Molecule: Carbonyl Sulphide

J. Vijayasekhar
Chapter 4
Homotopy Analysis Method to Heat and Mass Transfer in Visco-Elastic Fluid Flow through Porous Medium over Exponential Stretching Sheet with Radiation and Chemical Reaction

Hymavathi Talla
Chapter 5
On the Local and Global stability analysis for the Typhoid Fever Disease incorporating Protection against Infection

J. K. Nthiiri, G. O. Lawi
Chapter 6
Study of Gegenbauer Matrix Polynomials Via Matrix Functions and their Properties

Virender Singh, Archna Sharma, Mumtaz Ahmad Khan, Abdul Hakim Khan
Chapter 7
Investor’s Power Utility Optimization with Consumption, Tax, Dividend and Transaction Cost under Constant Elasticity of Variance Model

Silas A. Ihedioha
Chapter 8
Numerical Solution to Effect of Chemical Reaction on a Casson Fluid Flow over a Vertical Porous Surface

Hymavathi Talla
Chapter 9
Parabolic Transform and Some Ill-posed Problems

Mahmoud M. El-Borai, Khairia El-said El-Nadi
Chapter 10
Regularization Methods for Solving Ill-Posed Problems

Benedict Barnes, Francis Ohene Boateng
Chapter 11
On Markov Moment Problem and Related Inverse Problems

Octav Olteanu