Mathematical Journal of Interdisciplinary Sciences <div class="archives"> <h4>Welcome to MATHEMATICAL JOURNAL OF INTERDISCIPLINARY SCIENCES</h4> </div> <div class="about_jorunal_content"> <p>The journal is devoted to publication of original research papers, survey articles and review articles from all branches of Mathematical Sciences and their applications in engineering and other scientific disciplines with specific thrust towards recent developments in the chosen fields. It is an endeavour to propagate and exchange ideas for research, encourage creative thinking, and provide access to knowledge without any barriers. It has a broad scope that covers fields of pure and applied mathematics, mathematical physics, probability, theoretical and applied statistics, process modelling, control theory, optimization techniques and other related areas. Thus, the journal welcomes papers, both in theoretical and applied fields, of original and expository type that address issues of inter-disciplinary nature and cross-curricular dimensions.</p> <p>The aim of the journal is to offer scientists, researchers and scientific community at large, the opportunity to share knowledge related to advancements in mathematical sciences and its applications in other disciplines by emphasizing on originality, quality, importance and relevance of published work.</p> <p>The ‘Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.)’ is an open access, peer-reviewed scholarly journal devoted to publishing high- quality papers with an internationally recognized Editorial Board Members. It is published twice a year (in March and September).</p> </div> Chitkara University en-US Mathematical Journal of Interdisciplinary Sciences 2278-9561 <div class="archives"> <h4>License and Copyright Policy</h4> </div> <div class="about_jorunal_content"> <p>Chitkara University Publications for the journal (Math. J. Interdiscip. Sci.) protects author rights e.g., the results, analysis, methodology of Theoretical calculations or experiment. The copyright transfer form with open access policy under the creative common licenses of journal provides all rights specifically to the author (s); except to sell, distribution of the material in any form to any third party. Also, the authors are encouraged to submit the author’s copy of the accepted paper to an appropriate archive e.g. and/or in their institution’s repositories, or on their personal website also.</p> <p>Author(s) should mention reference of the Journal of Chitkara University Publications and DOI number of the publication carefully on the required page of the depository, in all above-mentioned cases. The copyright and license policy of Chitkara University Publications not only protect the author's rights but also protect the integrity and authenticity of the scientific records and takes very seriously about the plagiarism, fraud or ethics disputes.</p> <p>Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at <a href=""></a>. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.</p> <p>View Legal Code of the above mentioned license, <a href=""></a></p> <p>View Licence Deed here <a href=""></a></p> <div class="su-table su-table-style-1"> <table width="100%" cellspacing="0px" cellpadding="0px"> <tbody> <tr> <td><a href="" rel="license"><img style="border-width: 0;" src="" alt="Creative Commons License"></a></td> <td>Mathematical Journal of Interdisciplinary Sciences by <a href="" rel="cc:attributionURL">Chitkara University Publications</a> is licensed under a <a href="" rel="license">Creative Commons Attribution 4.0 International License</a>. Based on a work at <a href="" rel="dct:source"></a></td> </tr> </tbody> </table> </div> </div> Duplicating a Vertex with an Edge in Divided Square Difference Cordial Graphs <p>In this present work, we discuss divided square difference (DSD) cordial labeling in the context of duplicating a vertex with an edge in DSD cordial graphs such as path graph, cycle graph, star graph, wheel graph, helm graph, crown graph, comb graph and snake graph.</p> A. Alfred Leo R Vikramaprasad Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences 2018-09-06 2018-09-06 7 1 1 8 On The Generalized Natural Transform <p>In this paper, we introduce the Natural transform in the generalized sense with the help of distribution theory. Inversion, Uniqueness theorems and some properties of generalized in¬tegral transform are proved.</p> A.D. Chindhe S B Kiwne Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences 2018-09-06 2018-09-06 7 1 9 13 Approximate Analytical Solution of Advection-Dispersion Equation By Means of OHAM. <p>This work deals with the analytical solution of advection dispersion equation arising in solute transport along unsteady groundwater flow in finite aquifer. A time dependent input source concentration is considered at the origin of the aquifer and it is assumed that the concentration gradient is zero at the other end of the aquifer. The optimal homotopy analysis method (OHAM) is used to obtain numerical and graphical representation.</p> D J Prajapati N B Desai Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences 2018-09-06 2018-09-06 7 1 15 20 Homotopy Analysis Approach of Boussinesq Equation for Infiltration Phenomenon in Unsaturated Porous Medium. <p>Boussinesq’s equation is one-dimensional nonlinear partial differential equation which represents the infiltration phenomenon. This equation is frequently used to study the infiltration phenomenon in unsaturated porous medium. Infiltration is the process in which the groundwater of the water reservoir has entered in the unsaturated soil through vertical permeable wall. An approximate analytical solution of nonlinear partial differential equation is presented by homotopy analysis method. The convergence of homotopy analysis solution is discussed by choosing proper value of convergence control parameter. The solution represents the height of free surface of infiltrated water.</p> M A Patel N B Desai Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences 2018-09-06 2018-09-06 7 1 21 28 Mathematical Model for Impact of Media on Cleanliness Drive in India <p>A mathematical model on cleanliness drive in India is analysed for active cleaners and passive cleaners. Cleanliness and endemic equilibrium points are found. Local and global stability of these equilibrium points are discussed using Routh-Hurwitz criteria and Lyapunov function respectively. Impact of media (as a control) is studied on passive cleaners to become active. Numerical simulation of the model is carried out which indicates that with the help of media transfer rate to active cleaners from passive cleaners is higher.</p> N H Shah J S Patel F A Thakkar M H Satia Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences 2018-09-06 2018-09-06 7 1 29 36 Mahgoub Deterioration Method and its Application in Solving Duo-combination of Nonlinear PDE’s <p>This paper aims to solve Duo-combination of non linear partial differential equations by a latest approach called Mahgoub deterioration method (MDM). The latest technique is mix of the Mahgoub transform furthermore the, Adomian deterioration method. The generalized solution has been proved. Mahgoub deterioration method (MDM) is a very successful tool for finding the correct solution of linear and non linear partial differential equations. The continuance and uniqueness of solution is based on MDM.</p> R Khandelwal Y Khandelwal Pawan Chanchal Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences 2018-09-06 2018-09-06 7 1 37 44 Some Applications of The New Integral Transform For Partial Differential Equations <p>In this paper we have derived Sadik transform of the partial derivatives of a function of two variables. We have demonstrated the applicability of the Sadik transform by solving some examples of partial differential equations. We have verified solutions of partial differential equations by Sadik transform with the Laplace transform and the Sumudu transform.</p> S L Shaikh Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences 2018-09-06 2018-09-06 7 1 45 49 Absolute Mean Graceful Labeling in Path Union of Various Graphs <p>Present paper aims to focus on absolute mean graceful labeling in path union of various graphs. We proved path union of graphs like tree, path Pn, cycle C<sub>n</sub>, complete bipartite graph Km, n, grid graph P<sub>M</sub> × P<sub>n</sub>, step grid graph St<sub>n</sub> and double step grid graph DSt<sub>n</sub> are absolute mean graceful graphs.</p> V J Kaneria H P Chudasama P P Andharia Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences 2018-09-06 2018-09-06 7 1 51 56