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Vol. 7 No. 1 (2018)

Vol. 7 No. 1 (2018)

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Absolute Mean Graceful Labeling in Path Union of Various Graphs

Kaneria, V J; Chudasama, H P; Andharia, P P (2018-09-06)

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 Cn, complete bipartite graph Km, n, grid graph PM × Pn, step grid ...
Some Applications of The New Integral Transform For Partial Differential Equations

Shaikh, S L (2018-09-06)

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 ...
Mahgoub Deterioration Method and its Application in Solving Duo-combination of Nonlinear PDE’s

Khandelwal, R; Khandelwal, Y; Chanchal, Pawan (2018-09-06)

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, ...
Mathematical Model for Impact of Media on Cleanliness Drive in India

Shah, N H; Patel, J S; Thakkar, F A; Satia, M H (2018-09-06)

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 ...
Homotopy Analysis Approach of Boussinesq Equation for Infiltration Phenomenon in Unsaturated Porous Medium.

Patel, M A; Desai, N B (2018-09-06)

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 ...
Approximate Analytical Solution of Advection-Dispersion Equation By Means of OHAM.

Prajapati, D J; Desai, N B (2018-09-06)

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 ...
On The Generalized Natural Transform

Chindhe, A.D. Chindhe; Kiwne, S B (2018-09-06)

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.
Duplicating a Vertex with an Edge in Divided Square Difference Cordial Graphs

Alfred Leo, A.; Vikramaprasad, R (2018-09-06)

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 ...

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