Archive:: International Journal of Systems Science and Applied Mathematics:: Science Publishing Group

Volume 8, Issue 1, March 2023

On Some Finite Difference Schemes for the Solutions of Parabolic Partial Differential Equations

Omowo Babajide Johnson, Longe Idowu Oluwaseun, Osakwe Charles Nnamdi

Issue: Volume 8, Issue 1, March 2023

Pages: 1-6

Received: 8 October 2022

Accepted: 28 November 2022

Published: 14 February 2023

DOI: 10.11648/j.ijssam.20230801.11

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Abstract: This paper presents the comparison of three different and unique finite difference schemes used for finding the solutions of parabolic partial differential equations (PPDE). Knowing fully that the efficiency of a numerical schemes depends solely on their stability therefore, the schemes were compared based on their stability using von Newmann metho... Show More

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The Extended Adjacency Indices for Several Types of Graph Operations

Feng Fu, Bo Deng, Hongyu Zhang

Issue: Volume 8, Issue 1, March 2023

Pages: 7-11

Received: 4 January 2023

Accepted: 29 January 2023

Published: 14 February 2023

DOI: 10.11648/j.ijssam.20230801.12

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Abstract: Let G be a simple graph without multiple edges and any loops. At first, the extended adjacency matrix of a graph was first proposed by Yang et al in 1994, which is explored from the perspective of chemical molecular graph. Later, the spectral radius of graph and graph energy under the extended adjacency matrix was proposed. At the same time, for a ... Show More

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Error Analysis of Newly Developed Numerical Methods for Solving System of Nonlinear Equations

Azure Isaac, Twum Boakye Stephen, Anas Musah, Aloliga Golbert

Issue: Volume 8, Issue 1, March 2023

Pages: 12-16

Received: 25 February 2023

Accepted: 3 April 2023

Published: 18 April 2023

DOI: 10.11648/j.ijssam.20230801.13

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Abstract: Solution methods are the major tools in research especially in the area of applied mathematics. This is because, most real-life problems result into system of nonlinear equations, and the right solution method with less computational error is required to obtain an approximated solution to these system of nonlinear equations. The introduction of the... Show More

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