ORIGINAL_ARTICLE
Accurate Numerical Method for Singularly Perturbed Differential-Difference Equations with Mixed Shifts
This paper is concerned with the numerical solution of the singularly perturbed differential-difference equations with small shifts called delay and advanced parameters. A fourth order finite difference method with a fitting factor is proposed for the solution of the singularly perturbed differential-difference equations with mixed shifts. The delay and advanced shifts are managed by Taylor series and an asymptotically equivalent singularly perturbed two-point boundary value problem is obtained. A fitting factor is introduced in the fourth order finite difference scheme for the problem which takes care of the small values of the perturbation parameter. This fitting factor is obtained from the asymptotic solution of singular perturbations. Thomas algorithm is used to solve the discrete system of the difference scheme. Convergence of the proposed method is analyzed. Maximum absolute errors in comparison with the several numerical experiments aretabulated to illustrate the proposed method.
http://www.kjm-math.org/article_57949_faad09b64d50416a8548558290d7ffba.pdf
2018-07-01T11:23:20
2018-07-21T11:23:20
110
122
10.22034/kjm.2018.57949
Singularly perturbed differential-difference equation
Fitting factor
Boundary Layer
Tridiagonal system
Truncation error
Diddi
Kumara Swamy
diddi.k@gmail.com
true
1
Department of Mathematics, Christu Jyoti Institute of Technology and
Science, Jangaon, 506167, India.
Department of Mathematics, Christu Jyoti Institute of Technology and
Science, Jangaon, 506167, India.
Department of Mathematics, Christu Jyoti Institute of Technology and
Science, Jangaon, 506167, India.
AUTHOR
Kolloju
Phaneendra
kollojuphaneendra@yahoo.co.in
true
2
Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, 500004,India.
Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, 500004,India.
Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, 500004,India.
LEAD_AUTHOR
Y.N.
Reddy
ynreddy@nitw.ac.in
true
3
Department of Mathematics, National Institute of Technology, Warangal,
506004, India.
Department of Mathematics, National Institute of Technology, Warangal,
506004, India.
Department of Mathematics, National Institute of Technology, Warangal,
506004, India.
AUTHOR
ORIGINAL_ARTICLE
On Certain Results Involving a Multiplier Transformation in a Parabolic Region
We, here, obtain certain results in subordination form involving a multiplier transformation in a parabolic region. In particular, using different dominants in our main result, we derive certain results on parabolic starlikeness, starlikeness, convexity, uniform convexity, strongly starlikeness, close-to-convexity and uniform close-to-convexity of p-valent analytic functions as well as univalent analytic functions.
http://www.kjm-math.org/article_60177_7ab19b219bbfb0fdfc4ef62533b63751.pdf
2018-07-01T11:23:20
2018-07-21T11:23:20
123
143
10.22034/kjm.2018.59751
Analytic function
parabolic starlike function
uniformly convex function
differential subordination
multiplier transformation
Richa
Brar
richabrar4@gmail.com
true
1
Department of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.
Department of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.
Department of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.
LEAD_AUTHOR
Sukhwinder
Billing
ssbilling@gmail.com
true
2
Department of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.
Department of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.
Department of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.
AUTHOR
ORIGINAL_ARTICLE
More on Convergence Theory of Proper Multisplittings
In this paper, we first prove a few comparison results between twoproper weak regular splittings which are useful in getting theiterative solution of a large class of rectangular (square singular)linear system of equations $Ax = b$, in a faster way. We then deriveconvergence and comparison results for proper weak regularmultisplittings.
http://www.kjm-math.org/article_60178_45b35ce601f0a41c767c604a5ff62498.pdf
2018-07-01T11:23:20
2018-07-21T11:23:20
144
154
10.22034/kjm.2018.60178
Moore-Penrose inverse
proper splitting
multisplittings
convergence theorem
comparison theorem
Chinmay
Giri
ckg2357@gmail.com
true
1
Department of Mathematics, National Institute of Technology Raipur, Raipur
492010, Chhattisgarh, India.
Department of Mathematics, National Institute of Technology Raipur, Raipur
492010, Chhattisgarh, India.
Department of Mathematics, National Institute of Technology Raipur, Raipur
492010, Chhattisgarh, India.
AUTHOR
Debasisha
Mishra
dmishra@nitrr.ac.in
true
2
Department of Mathematics, National Institute of Technology Raipur, Raipur
492010, Chhattisgarh, India.
Department of Mathematics, National Institute of Technology Raipur, Raipur
492010, Chhattisgarh, India.
Department of Mathematics, National Institute of Technology Raipur, Raipur
492010, Chhattisgarh, India.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Uniqueness of Meromorphic Functions with Regard to Multiplicity
In this paper, we investigate the uniqueness problem on meromorphic functions concerning differential polynomials sharing one value. A uniqueness result which related to multiplicity of meromorphic function is proved in this paper. By using the notion of multilplicity our results will generalise and improve the result due to Chao Meng [10].
http://www.kjm-math.org/article_60179_60795f61bcd501613831c381bf36238c.pdf
2018-07-01T11:23:20
2018-07-21T11:23:20
155
166
10.22034/kjm.2018.60179
uniqueness
meromorphic function
differential polynomial
multiplicity
Harina
Waghamore
harinapw@gmail.com
true
1
Department of Mathematics, Jnanabharathi Campus, Bangalore University,
Bengaluru-560056, INDIA
Department of Mathematics, Jnanabharathi Campus, Bangalore University,
Bengaluru-560056, INDIA
Department of Mathematics, Jnanabharathi Campus, Bangalore University,
Bengaluru-560056, INDIA
LEAD_AUTHOR
Naveenkumar
Sannappala
naveenkumarsh.220@gmail.com
true
2
Department of Mathematics, Jnanabharathi Campus, Bangalore University,
Bengaluru-560056, INDIA
Department of Mathematics, Jnanabharathi Campus, Bangalore University,
Bengaluru-560056, INDIA
Department of Mathematics, Jnanabharathi Campus, Bangalore University,
Bengaluru-560056, INDIA
AUTHOR
ORIGINAL_ARTICLE
Expanding the Applicability of Generalized High Convergence Order Methods for Solving Equations
The local convergence analysis of iterative methods is important since it indicates the degree of difficulty for choosing initial points. In the present study we introduce generalized three step high order methods for solving nonlinear equations. The local convergence analysis is given using hypotheses only on the first derivative, which actually appears in the methods in contrast to earlier works using hypotheses on higher derivatives. This way we extend the applicability of these methods. The analysis includes computable radius of convergence as well as error bounds based on Lipschitz-type conditions, which is not given in earlier studies. Numerical examples conclude this study.
http://www.kjm-math.org/article_63368_012c2c785e1430a9ff18422feb561db6.pdf
2018-07-01T11:23:20
2018-07-21T11:23:20
167
177
10.22034/kjm.2018.63368
Three step method
local convergence
Fr'echet derivative
system of equations
Banach space
Ioannis K
Argyros
iargyros@cameron.edu
true
1
Department of Mathematical Sciences, Cameron University, Lawton, OK
73505, USA.
Department of Mathematical Sciences, Cameron University, Lawton, OK
73505, USA.
Department of Mathematical Sciences, Cameron University, Lawton, OK
73505, USA.
AUTHOR
Santhosh
George
sgeorge@nitk.ac.in
true
2
Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025.
Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025.
Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Generalized Ricci Solitons on Trans-Sasakian Manifolds
The object of the present research is to shows that a trans-Sasakian manifold, which also satisfies the Ricci soliton and generalized Ricci soliton equation, satisfying some conditions, is necessarily the Einstein manifold.
http://www.kjm-math.org/article_63446_eabee94b9a3fd4c91d2e2429b5763ac2.pdf
2018-07-01T11:23:20
2018-07-21T11:23:20
178
186
10.22034/kjm.2018.63446
Generalized Ricci Solitons
trans-Sasakian manifold
Einstein manifold
Mohd
Siddiqi
anallintegral@gmail.com
true
1
Department of Mathematics, Jazan University, Faculty of Science, Jazan,
Kingdom of Saudi Arabia.
Department of Mathematics, Jazan University, Faculty of Science, Jazan,
Kingdom of Saudi Arabia.
Department of Mathematics, Jazan University, Faculty of Science, Jazan,
Kingdom of Saudi Arabia.
LEAD_AUTHOR
ORIGINAL_ARTICLE
On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions
In this paper, we introduce a new subclass of biunivalent function class $\Sigma$ in which both $f(z)$ and $f^{-1}(z)$ are m-fold symmetric analytic functions. For functions of the subclass introduced in this paper, we obtain the coefficient bounds for $|a_{m+1}|$ and $|a_{2m+1}|$ and also study the Fekete-Szegö functional estimate for this class. Consequences of the results are also discussed.
http://www.kjm-math.org/article_63470_def95421626bd10dbaaaf7b380ff11dd.pdf
2018-07-01T11:23:20
2018-07-21T11:23:20
187
197
10.22034/kjm.2018.63470
Biunivalent functions
coefficient bounds
pseudo-starlike functions
Fekete-Szegö functional estimates
Taylor-Maclaurin coefficients
subordination
Emeka
Mazi
emekmazi21@gmail.com
true
1
Department of Mathematics, Faculty of Science, University of Ilorin, Nigeria
Department of Mathematics, Faculty of Science, University of Ilorin, Nigeria
Department of Mathematics, Faculty of Science, University of Ilorin, Nigeria
LEAD_AUTHOR
Şahsene
Altinkaya
sahsene@uludag.edu.tr
true
2
Department of Mathematics, Faculty of Science, Uludag University, 16059,
Bursa, Turkey.
Department of Mathematics, Faculty of Science, Uludag University, 16059,
Bursa, Turkey.
Department of Mathematics, Faculty of Science, Uludag University, 16059,
Bursa, Turkey.
AUTHOR
ORIGINAL_ARTICLE
Solvability of Nonlinear Goursat Type Problem for Hyperbolic Equation with Integral Condition
This paper is concerned with the existence and uniqueness of a strong solution for linear problem by using a functional analysis method, which is based on an energy inequality and the density of the range of the operator generated by the problem. Applying an iterative process based on results obtained from the linear problem, we prove the existence anduniqueness of the weak generalized solution of nonlinear hyperbolic Goursat problem with integral condition.
http://www.kjm-math.org/article_65161_8fed2a0e71a8af7d76b734e82401f3b2.pdf
2018-07-01T11:23:20
2018-07-21T11:23:20
198
213
10.22034/kjm.2018.65161
Energy inequality
Goursat equation
nonlinear hyperbolic problems
integral condition
a priori estimate
Taki Eddine
Oussaeif
taki_maths@live.fr
true
1
Department of Mathematics and Informatics., The Larbi Ben M'hidi
University, Oum El Bouaghi, Algeria.
Department of Mathematics and Informatics., The Larbi Ben M'hidi
University, Oum El Bouaghi, Algeria.
Department of Mathematics and Informatics., The Larbi Ben M'hidi
University, Oum El Bouaghi, Algeria.
LEAD_AUTHOR
Abdelfatah
Bouziani
aefbouziani@yahoo.fr
true
2
Département de Mathématiques et Informatique, Université Larbi Ben M'hidi, Oum El Bouagui, B.P. 565, 04000, Algerie.
Département de Mathématiques et Informatique, Université Larbi Ben M'hidi, Oum El Bouagui, B.P. 565, 04000, Algerie.
Département de Mathématiques et Informatique, Université Larbi Ben M'hidi, Oum El Bouagui, B.P. 565, 04000, Algerie.
AUTHOR