Mathematical Journal of Interdisciplinary Sciences 2019-06-10T17:23:04+0530 Dr. Ashok Kumar Open Journal Systems <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> Duplicating a Vertex with an Edge in Divided Square Difference Cordial Graphs 2019-06-10T16:52:39+0530 A. Alfred Leo R Vikramaprasad <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> 2018-09-06T00:00:00+0530 Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences On The Generalized Natural Transform 2019-06-10T17:19:22+0530 A.D. Chindhe S B Kiwne <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> 2018-09-06T00:00:00+0530 Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences Approximate Analytical Solution of Advection-Dispersion Equation By Means of OHAM. 2019-06-10T17:19:53+0530 D J Prajapati N B Desai <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> 2018-09-06T00:00:00+0530 Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences Homotopy Analysis Approach of Boussinesq Equation for Infiltration Phenomenon in Unsaturated Porous Medium. 2019-06-10T17:20:27+0530 M A Patel N B Desai <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> 2018-09-06T00:00:00+0530 Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences Mathematical Model for Impact of Media on Cleanliness Drive in India 2019-06-10T17:21:23+0530 N H Shah J S Patel F A Thakkar M H Satia <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> 2018-09-06T00:00:00+0530 Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences Mahgoub Deterioration Method and its Application in Solving Duo-combination of Nonlinear PDE’s 2019-06-10T17:22:08+0530 R Khandelwal Y Khandelwal Pawan Chanchal <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> 2018-09-06T00:00:00+0530 Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences Some Applications of The New Integral Transform For Partial Differential Equations 2019-06-10T17:22:37+0530 S L Shaikh <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> 2018-09-06T00:00:00+0530 Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences Absolute Mean Graceful Labeling in Path Union of Various Graphs 2019-06-10T17:23:04+0530 V J Kaneria H P Chudasama P P Andharia <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> 2018-09-06T00:00:00+0530 Copyright (c) 2018 Mathematical Journal of Interdisciplinary Sciences