2020-07-07T10:17:18Z
http://mir.kashanu.ac.ir/?_action=export&rf=summon&issue=3030
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2016
1
2
Motion of Particles under Pseudo-Deformation
Akhilesh
Yadav
In this short article, we observe that the path of particle of mass $m$ moving along $mathbf{r}= mathbf{r}(t)$ under pseudo-force $mathbf{A}(t)$, $t$ denotes the time, is given by $mathbf{r}_d= int(frac{dmathbf{r}}{dt} mathbf{A}(t)) dt +mathbf{c}$. We also observe that the effective force $mathbf{F}_e$ on that particle due to pseudo-force $mathbf{A}(t)$, is given by $ mathbf{F}_e= mathbf{F} mathbf{A}(t)+ mathbf{L} dmathbf{A}(t)/dt$, where $mathbf{F}= m d^2mathbf{r}/dt^2 $ and $mathbf{L}= m dmathbf{r}/dt$. We have discussed stream lines under pseudo-force.
Right loops
right transversals
gyrotransversals
2016
07
01
273
277
http://mir.kashanu.ac.ir/article_34108_1020df1e5666b6a0fea4c5f804264b84.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2016
1
2
C-Class Functions and Remarks on Fixed Points of Weakly Compatible Mappings in G-Metric Spaces Satisfying Common Limit Range Property
Arslan
Hojat Ansari
Diana
Dolicanin-Dekic
Feng
Gu
Branislav
Popovic
Stojan
Radenovic
In this paper, using the contexts of C-class functions and common limit<br />range property, common fixed point result for some operator are obtained.<br />Our results generalize several results in the existing literature. Some examples<br />are given to illustrate the usability of our approach.
Generalized metric space
common fixed point
generalized weakly G-contraction
weakly compatible mappings
common (CLRST ) property
C-class functions
2016
07
01
279
290
http://mir.kashanu.ac.ir/article_34106_f7148aa5b4661811ab50e7cd0cffd3d4.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2016
1
2
Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation
Akbar
Mohebbi
Zahra
Faraz
In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of O(τ2 + h2). Furthermore we show the existence and uniqueness of numerical solutions. Comparing the numerical results with other methods in the literature show the efficiency and high accuracy of the proposed method. In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of O(τ2 + h2). Furthermore we show the existence and uniqueness of numerical solutions. Comparing the numerical results with other methods in the literature show the efficiency and high accuracy of the proposed method. In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of O(τ2 + h2). Furthermore we show the existence and uniqueness of numerical solutions. Comparing the numerical results with other methods in the literature show the efficiency and high accuracy of the proposed method.
Finite difference scheme
solvability
unconditional stability
Convergence
2016
07
01
291
304
http://mir.kashanu.ac.ir/article_15512_124ceee6f307b4edb7a77d6025a2e5e1.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2016
1
2
Wiener Polarity Index of Tensor Product of Graphs
Mojgan
Mogharrab
Reza
Sharafdini
Somayeh
Musavi
Mathematical chemistry is a branch of theoretical chemistry for discussion and prediction of the molecular structure using mathematical methods without necessarily referring to quantum mechanics. In theoretical chemistry, distance-based molecular structure descriptors are used for modeling physical, pharmacologic, biological and other properties of chemical compounds. The Wiener Polarity index of a graph G is denoted by W_P (G) is the number of unordered pairs of vertices of distance 3. The Wiener polarity index is used to demonstrate quantitative structure-property relationships in a series of acyclic and cycle-containing hydrocarbons. Let G,H be two simple connected graphs. Then the tensor product of them is denoted by G⨂H whose vertex set is V(G⨂H)=V(G)×V(H) and edge set is E(G⨂H)={(a,b)(c,d)| ac∈E(G) ,bd∈E(H) }. In this paper, we aim to compute the Wiener polarity index of G⨂H which was computed wrongly in [J. Ma, Y. Shi and J. Yue, The Wiener Polarity Index of Graph Products, Ars Combin., 116 (2014) 235-244].
topological index
Wiener polarity index
tensor product
Graph
Distance
2016
07
01
305
316
http://mir.kashanu.ac.ir/article_34109_2979030b6f901a9245e59b804f53aab3.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2016
1
2
Diameter Two Graphs of Minimum Order with Given Degree Set
Gholamreza
Abrishami
Freydoon
Rahbarnia
Irandokht
Rezaee
The degree set of a graph is the set of its degrees. Kapoor et al. [Degree sets for graphs, Fund. Math. 95 (1977) 189-194] proved that for every set of positive integers, there exists a graph of diameter at most two and radius one with that degree set. Furthermore, the minimum order of such a graph is determined. A graph is 2-self- centered if its radius and diameter are two. In this paper for a given set of natural numbers greater than one, we determine the minimum order of a 2-self-centered graph with that degree set.
Degree set
self-centered graph
radius
diameter
2016
07
01
317
323
http://mir.kashanu.ac.ir/article_34107_f8c714c2b1ea6bcadfdfe4ef88683da2.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2016
1
2
Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions
Seyfollah
Mosazadeh
In this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. Also, we obtain formal series solutions for some partial differential equations associated with the second order differential equation, and study necessary and sufficient conditions for the negative and positive eigenvalues of the boundary value problem. Finally, by the sequence of orthogonal eigenfunctions, we provide the eigenfunction expansions for twice continuously differentiable functions.
Boundary value problem
Eigenvalue
eigenfunction
completeness
eigenfunction expansion
2016
07
01
325
334
http://mir.kashanu.ac.ir/article_33850_0af3a4d1236273501fd68bad66d189f3.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2016
1
2
Complete Issue 2016-2
2016
07
01
273
334
http://mir.kashanu.ac.ir/article_54878_5fc6ddd9b2904a1e6fb5a1384529b573.pdf