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Journal of Advances in Mathematics and Computer Science

Published by SCIENCEDOMAIN international · ISSN (electronic) 2456-9968

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1,763

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2026 articles

1,763

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9,342

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Articles (1763)

The Possible Structure in the Distribution of Decimals in the Euler’s Number Expansion

Alexander Bolotin · Journal of Advances in Mathematics and Computer Science · 2014

This short paper continues to discuss randomness of the Euler’s number e digits in decimal expansion. To analyze such randomness statistically, we exploit fixed-effects and random-effects Poisson panel-data models. The results of the regression models reveal the presence of some...

Open access Research Article 10.9734/BJMCS/2014/13537

On a Weighted Retro Banach Frames for Discrete Signal Spaces

Mahesh C. Joshi, Raj Kumar & Ram Bharat Singh · Journal of Advances in Mathematics and Computer Science · 2014

In this paper we introduce a weighted retro Banach frame for a discrete signal space. Necessary and sufficient condition for the existence of weighted retro Banach frames is obtained. Construction of weighted retro Banach frames from bounded linear operator is discussed. A Paley-...

Open access Research Article 10.9734/BJMCS/2014/12749

Semi-analytical Approximation for Solving High-order Sturm-Liouville Problems

A. H. S. Taher, A. Malek & A. S. A. Thabet · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, an algorithm for solving high-order non-singular Sturm-Liouville eigenvalue problems is proposed. A modified form of Adomian decomposition method is implemented to provide a semianalytical solution in the form of a rapidly convergent series. Convergent analysis and...

Open access Research Article 10.9734/BJMCS/2014/13503

Set-theoretic Foundations of the Modern Relational Databases: Representations of Table Algebras Operations

As'ad Mahmoud As'ad Alnaser · Journal of Advances in Mathematics and Computer Science · 2014

The article is dedicated to the creation of the fragment of table algebras theory constructed on the basis of classical relational Codd’s algebras. The distinctive peculiarity of the adapted technique is the use of set-theoretic properties of some constructions (full image of the...

Open access Research Article 10.9734/BJMCS/2014/13330

A Computational Study on the Viscous in Compressible Laminar Separated Flow in a Unit Square Cavity

Pulakesh Sen & Sanjib Kumar Datta · Journal of Advances in Mathematics and Computer Science · 2014

The phenomenon of Fluid flow separation is associated with a number of Fluid Flow Problems faced in real life situation nowadays. To understand these flow problems even under the assumption of the incompressible viscous flow is quiet a difficult task. The complexity lies on the w...

Open access Research Article 10.9734/BJMCS/2014/12573

Homotopy Perturbation Method for Solving Cell Cycle of Tumoural Cells

N. S. Ravindran, M. Mohamed Sheri & P. Krishnapriya · Journal of Advances in Mathematics and Computer Science · 2014

In this work we present a mathematical model for tumour growth based on the biology of the cell cycle. Our model reproduces the dynamics of three different tumour cell populations: Quiescent cells, cells during the inter phase and mitotic cells. Here, we investigate the stability...

Open access Research Article 10.9734/BJMCS/2014/12519

Note on Algebras that are Sums of Two Subalgebras Satisfying Polynomial Identities

Marek Kȩpczyk · Journal of Advances in Mathematics and Computer Science · 2014

 We study an associative algebra A over an arbitrary field, that is a sum of two subalgebras B and C (i.e. A = B+C). We prove that if B has a nil ideal of bounded index, and that C has a commutative ideal, both of finite codimension in B and C, respectively, then for some nil PI...

Open access Research Article 10.9734/BJMCS/2014/12652

Procedure for Exact Solutions of Stiff Ordinary Differential Equations Systems

Brahim Benhammouda, Hector Vazquez-Leal, L. Benhamouche, H. Zahed, Y. Abo Einaga, A. Sarmiento-Reyes, A. Marin-Hernandez & J. Huerta-Chua · Journal of Advances in Mathematics and Computer Science · 2014

In this work, we present a technique for the analytical solution of systems of sti ordinary dierential equations (SODEs) using the power series method (PSM). Three SODEs systems are solved to show that PSM can nd analytical solutions of SODEs systems in convergent series form. Ad...

Open access Research Article 10.9734/BJMCS/2014/12778

Solution Procedure for Systems of Partial Dierential-Algebraic Equations by NHPM and Laplace-Padé Resummation

Brahim Benhammouda, Hector Vazquez-Leal & Arturo Sarmiento-Reyes · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, we propose an ecient modication of a New Homotopy Perturbation Method (NHPM) to obtain approximate and exact analytical solutions of Partial Dierential-Algebraic Equations (PDAEs). The NHPM is rst applied to the PDAE to obtain the exact solution in convergent serie...

Open access Research Article 10.9734/BJMCS/2014/12168