# zbMATH — the first resource for mathematics

## Kumar, Devendra

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 Author ID: kumar.devendra.1 Published as: Kumar, Devendra; Kumar, D. Homepage: http://universe.bits-pilani.ac.in/pilani/dkumar/profile External Links: MGP
 Documents Indexed: 74 Publications since 2006
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#### Co-Authors

 20 single-authored 13 Kadalbajoo, Mohan K. 10 Dey, Sanku 4 Nassar, Mazen 3 Dubey, Ved Prakash 3 Kumar, Rajnesh 3 Vijayran, Manisha 2 Afify, Ahmed Z. 2 Gill, Vinod 2 Kumar, Rajesh S. 2 Kumari, Parvin 2 Prakasha, Doddabhadrappla Gowda 2 Singh, Yudhveer 2 Veeresha, Pundikala 2 Yadaw, Arjun Singh 1 Alghamdi, Azza M. 1 Ali, Rifaqat 1 Bejarbaneh, E. Yazdani 1 Cordeiro, Gauss Moutinho 1 Deo, Narendra 1 Dey, Tanujit 1 Dwivedi, Yogesh K. 1 Ghosh, Indranil 1 Gupta, Shivani 1 Jain, Madhu 1 Jain, Neetu 1 Jain, Vandna 1 Jha, Rajeev 1 Kaplan, Melike 1 Kundu, Sunil 1 Long, Le Dinh 1 Louzada, Francisco 1 Luc, Nguyen Hoang 1 Makinde, Oluwole Daniel 1 Mirmostafaee, S. M. T. K. 1 Nadarajah, Saralees 1 Nguyen Huy Tuan 1 Ormoz, Ehsan 1 Phuong, Nguyen Duc 1 Podila, Pramod Chakravarthy 1 Prakash, Om 1 Ramos, Pedro Luiz 1 Samuel, Shikaa 1 Shafay, A. R. 1 Shivhare, Meenakshi 1 Shrahili, Mansour 1 Shrivastav, R. K. 1 Shrivastava, Rajeev Kumar 1 Tuan, Nguyen Anh 1 Van, Ho Thi Kim 1 Waymyers, Sophia
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#### Serials

 5 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Applications and Applied Mathematics 2 Applied Mathematical Modelling 2 Journal of Numerical Mathematics 2 International Journal of Mathematics and Computer Science 2 International Journal of Biomathematics 2 International Journal of Analysis and Applications 2 Mathematical Sciences & Applications E-Notes 2 Journal of Numerical Analysis and Approximation Theory 2 Stochastics and Quality Control 1 International Journal of Modern Physics B 1 Archives of Mechanics 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Ukrainian Mathematical Journal 1 Acta Ciencia Indica. Mathematics 1 Indian Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Communications in Statistics. Simulation and Computation 1 Communications in Statistics. Theory and Methods 1 New Zealand Journal of Mathematics 1 The Journal of Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 ETNA. Electronic Transactions on Numerical Analysis 1 Complexity 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Sādhanā 1 Journal of Applied Mathematics and Computing 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Applied Mathematics & Information Sciences 1 European Journal of Pure and Applied Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Numerical Mathematics: Theory, Methods and Applications 1 Communications in Theoretical Physics 1 Acta Universitatis Sapientiae. Mathematica 1 International Journal of Engineering. Transactions A: Basics 1 Journal of Probability and Statistics 1 Journal of Applied Mathematics & Informatics 1 Mathematica Æterna 1 Afrika Matematika 1 Theory and Applications of Mathematics & Computer Science 1 ISRN Applied Mathematics 1 Communications in Mathematics and Statistics 1 Journal of Complex Analysis 1 Gulf Journal of Mathematics 1 Journal of Function Spaces 1 Results in Applied Mathematics
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#### Fields

 23 Numerical analysis (65-XX) 18 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 14 Statistics (62-XX) 9 Functions of a complex variable (30-XX) 8 Biology and other natural sciences (92-XX) 7 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 6 Fluid mechanics (76-XX) 5 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Integral transforms, operational calculus (44-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 138 times in 77 Documents Cited by Year
Fitted mesh $$B$$-spline collocation method for singularly perturbed differential-difference equations with small delay. Zbl 1160.65043
2008
A computational method for singularly perturbed nonlinear differential-difference equations with small shift. Zbl 1195.65100
2010
A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations. Zbl 1219.65110
2011
Geometric mesh FDM for self-adjoint singular perturbation boundary value problems. Zbl 1124.65064
2007
Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme. Zbl 1186.65103
2009
New exact traveling wave solutions of the unstable nonlinear Schrödinger equations. Zbl 1382.35269
Hosseini, K.; Kumar, D.; Kaplan, M.; Bejarbaneh, E. Yazdani
2017
Oscillatory MHD flow of blood through an artery with mild stenosis. Zbl 1357.76101
Kumar, S.; Kumar, S.; Kumar, D.
2009
Comparative study of singularly perturbed two-point BVPs via: Fitted-mesh finite difference method, B-spline collocation method and finite element method. Zbl 1160.65038
2008
A parameter-uniform method for two parameters singularly perturbed boundary value problems via asymptotic expansion. Zbl 1269.34025
2013
Extended exponential distribution based on order statistics. Zbl 1377.62135
Kumar, Devendra; Dey, Sanku; Nadarajah, Saralees
2017
Exponentiated Chen distribution: properties and estimation. Zbl 1383.62037
Dey, Sanku; Kumar, Devendra; Ramos, Pedro L.; Louzada, Francisco
2017
An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation. Zbl 1433.35454
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra
2020
A new extension of Weibull distribution: properties and different methods of estimation. Zbl 1390.60062
Nassar, Mazen; Afify, Ahmed Z.; Dey, Sanku; Kumar, Devendra
2018
Alpha power transformed inverse Lindley distribution: a distribution with an upside-down bathtub-shaped hazard function. Zbl 1404.60028
Dey, Sanku; Nassar, Mazen; Kumar, Devendra
2019
Numerical approximations for singularly perturbed differential-difference BVPs with layer and oscillatory behavior. Zbl 1259.65107
2012
A non-linear single step explicit scheme for non-linear two-point singularly perturbed boundary value problems via initial value technique. Zbl 1151.65062
2008
Generalized growth and approximation of entire function solution of Helmholtz equation in Banach spaces. Zbl 1341.30026
Kumar, Devendra
2016
Fitted mesh method for a class of singularly perturbed differential-difference equations. Zbl 1349.65203
Kumar, Devendra
2015
A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay. Zbl 1418.65101
Kumar, Devendra; Kumari, Parvin
2019
Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay. Zbl 1436.35028
Kumar, Devendra; Kumari, Parvin
2020
A variable mesh finite difference method for self-adjoint singularly perturbed two-point boundary value problems. Zbl 1240.65224
2010
A parameter uniform method for singularly perturbed differential-difference equations with small shifts. Zbl 1270.65038
2013
On the growth and best polynomial approximation of entire functions in $$\mathbb {C}^{m}$$ ($$m\geq 2$$) in some Banach spaces. Zbl 1371.32004
Kumar, Devendra
2017
An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience. Zbl 1407.65111
Kumar, Devendra
2018
On the growth and approximation of transcendental entire functions on algebraic varieties. Zbl 1386.41003
Kumar, Devendra
2016
Statistical inference of exponentiated moment exponential distribution based on lower record values. Zbl 1380.62065
Kumar, Devendra; Dey, Tanujit; Dey, Sanku
2017
Numerical treatment of singularly perturbed delay differential equations using B-spline collocation method on Shishkin mesh. Zbl 1432.65105
2012
A collocation method for singularly perturbed differential-difference turning point problems exhibiting boundary/interior layers. Zbl 1405.65081
Kumar, Devendra
2018
The Marshall-Olkin alpha power family of distributions with applications. Zbl 1409.62047
Nassar, Mazen; Kumar, Devendra; Dey, Sanku; Cordeiro, Gauss M.; Afify, Ahmed Z.
2019
Bounded M-O extended exponential distribution with applications. Zbl 1448.60032
Ghosh, Indranil; Dey, Sanku; Kumar, Devendra
2019
Finite difference scheme for singularly perturbed convection-diffusion problem with two small parameters. Zbl 1288.65111
Kumar, Devendra
2012
Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth. Zbl 1371.32003
Kumar, Devendra
2017
An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation. Zbl 1433.35454
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra
2020
Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay. Zbl 1436.35028
Kumar, Devendra; Kumari, Parvin
2020
Alpha power transformed inverse Lindley distribution: a distribution with an upside-down bathtub-shaped hazard function. Zbl 1404.60028
Dey, Sanku; Nassar, Mazen; Kumar, Devendra
2019
A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay. Zbl 1418.65101
Kumar, Devendra; Kumari, Parvin
2019
The Marshall-Olkin alpha power family of distributions with applications. Zbl 1409.62047
Nassar, Mazen; Kumar, Devendra; Dey, Sanku; Cordeiro, Gauss M.; Afify, Ahmed Z.
2019
Bounded M-O extended exponential distribution with applications. Zbl 1448.60032
Ghosh, Indranil; Dey, Sanku; Kumar, Devendra
2019
A new extension of Weibull distribution: properties and different methods of estimation. Zbl 1390.60062
Nassar, Mazen; Afify, Ahmed Z.; Dey, Sanku; Kumar, Devendra
2018
An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience. Zbl 1407.65111
Kumar, Devendra
2018
A collocation method for singularly perturbed differential-difference turning point problems exhibiting boundary/interior layers. Zbl 1405.65081
Kumar, Devendra
2018
New exact traveling wave solutions of the unstable nonlinear Schrödinger equations. Zbl 1382.35269
Hosseini, K.; Kumar, D.; Kaplan, M.; Bejarbaneh, E. Yazdani
2017
Extended exponential distribution based on order statistics. Zbl 1377.62135
Kumar, Devendra; Dey, Sanku; Nadarajah, Saralees
2017
Exponentiated Chen distribution: properties and estimation. Zbl 1383.62037
Dey, Sanku; Kumar, Devendra; Ramos, Pedro L.; Louzada, Francisco
2017
On the growth and best polynomial approximation of entire functions in $$\mathbb {C}^{m}$$ ($$m\geq 2$$) in some Banach spaces. Zbl 1371.32004
Kumar, Devendra
2017
Statistical inference of exponentiated moment exponential distribution based on lower record values. Zbl 1380.62065
Kumar, Devendra; Dey, Tanujit; Dey, Sanku
2017
Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth. Zbl 1371.32003
Kumar, Devendra
2017
Generalized growth and approximation of entire function solution of Helmholtz equation in Banach spaces. Zbl 1341.30026
Kumar, Devendra
2016
On the growth and approximation of transcendental entire functions on algebraic varieties. Zbl 1386.41003
Kumar, Devendra
2016
Fitted mesh method for a class of singularly perturbed differential-difference equations. Zbl 1349.65203
Kumar, Devendra
2015
A parameter-uniform method for two parameters singularly perturbed boundary value problems via asymptotic expansion. Zbl 1269.34025
2013
A parameter uniform method for singularly perturbed differential-difference equations with small shifts. Zbl 1270.65038
2013
Numerical approximations for singularly perturbed differential-difference BVPs with layer and oscillatory behavior. Zbl 1259.65107
2012
Numerical treatment of singularly perturbed delay differential equations using B-spline collocation method on Shishkin mesh. Zbl 1432.65105
2012
Finite difference scheme for singularly perturbed convection-diffusion problem with two small parameters. Zbl 1288.65111
Kumar, Devendra
2012
A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations. Zbl 1219.65110
2011
A computational method for singularly perturbed nonlinear differential-difference equations with small shift. Zbl 1195.65100
2010
A variable mesh finite difference method for self-adjoint singularly perturbed two-point boundary value problems. Zbl 1240.65224
2010
Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme. Zbl 1186.65103
2009
Oscillatory MHD flow of blood through an artery with mild stenosis. Zbl 1357.76101
Kumar, S.; Kumar, S.; Kumar, D.
2009
Fitted mesh $$B$$-spline collocation method for singularly perturbed differential-difference equations with small delay. Zbl 1160.65043
2008
Comparative study of singularly perturbed two-point BVPs via: Fitted-mesh finite difference method, B-spline collocation method and finite element method. Zbl 1160.65038
2008
A non-linear single step explicit scheme for non-linear two-point singularly perturbed boundary value problems via initial value technique. Zbl 1151.65062
2008
Geometric mesh FDM for self-adjoint singular perturbation boundary value problems. Zbl 1124.65064
2007
all top 5

#### Cited by 122 Authors

 7 Jha, Navnit 6 Sharma, Kapil Kumar 4 Bansal, Komal 4 Ravi Kanth, A. S. V. 3 Geng, Fazhan 3 Kadalbajoo, Mohan K. 3 Mohanty, Ranjan Kumar 3 Murali Mohan Kumar, P. 3 Sekar, Elango 3 Tamilselvan, Ayyadurai 2 Abbasbandy, Saeid 2 Allahviranloo, Tofigh 2 Chauhan, Vinod 2 Dinesh Kumar, S. 2 Gupta, Vikas 2 Khuri, Suheil A. 2 Kukreja, Vijay Kumar 2 Kumar, Neelesh 2 Kumari, Archna 2 Kumari, Parvin 2 Liu, Li-Bin 2 Nageshwar Rao, Ragi 2 Palli, Murali Mohan Kumar 2 Pramod Chakravarthy, Podila 2 Priyanga, B. 2 Qian, Suping 2 Rai, Pratima 2 Ramesh, V. P. 2 Sahihi, Hussein 2 Sayfy, Ali M. S. 2 Shallu 2 Yüzbaşı, Şuayip 1 Abdelkawy, Mohamed A. 1 Adamu, Getachew 1 Adivi Sri Venkata, Ravi Kanth 1 Agarwal, Praveen 1 Ahmad, Khalil 1 Akin, Omer 1 Al-Amery, Dirhem 1 Alavi, Javad 1 Aminikhah, Hossein 1 Andargie, Awoke 1 Arora, Shelly 1 Bhrawy, Ali Hassan 1 Bieniasz, Lesław K. 1 Bullo, Tesfaye Aga 1 Buzuzi, George 1 Cengizci, Süleyman 1 Chakravarthy, P. Pramod 1 Chandru, M. 1 Chen, Yanping 1 Cheung, Man-chi 1 Cui, Minggen 1 Demkowicz, Leszek F. 1 Ding, Jiu 1 Ding, Ruifeng 1 Doğan, Nurettin 1 Duressa, Gemechis File 1 Erdogan, Fevzi 1 Erturk, Vedat Suat 1 Fu, Minghui 1 Gebeyaw, Wondwosen 1 Ghate, Devendra P. 1 Gopal, Venu 1 Gu, Ya 1 Gunasekaran, Nallappan 1 Hammachukiattikul, Porpattama 1 Jin, Congming 1 Kaur, Inderpreet 1 Kaushik, Aditya 1 Khandelwal, Pooja 1 Kumar Mishra, Hradyesh 1 Kumar, Devendra 1 Kumar, Manoj 1 Kumar, Mukesh 1 Kumar, Sunil 1 Kumar, Vijayant 1 Kumara Swamy, D. 1 Leng, Haitao 1 Li, Fen 1 Li, Shuai 1 Li, Zhan 1 Lodhi, Ram Kishun 1 Long, Guangqing 1 Mallawi, Fouad Othman 1 Mishra, Hemant Kumar 1 Mora, Jaime 1 Munyakazi, Justin B. 1 Nataraj, Neela 1 Ni, Mingkang 1 Parul 1 Patidar, Kailash C. 1 Phaneendra, Kolloju 1 Podila, Pramod Chakravarthy 1 Prabha, T. 1 Prithvi, M. 1 Rao, R. Nageshwar 1 Raza, Akmal 1 Reddy, N. Raji 1 Reddy, Yanala Narsimha ...and 22 more Authors
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#### Cited in 47 Serials

 8 Applied Mathematics and Computation 7 Differential Equations and Dynamical Systems 5 International Journal of Applied and Computational Mathematics 3 Journal of Computational and Applied Mathematics 3 Applied Mathematical Modelling 2 Computers & Mathematics with Applications 2 Calcolo 2 Numerical Methods for Partial Differential Equations 2 Computational Mathematics and Modeling 2 International Journal of Computer Mathematics 2 Abstract and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 International Journal of Differential Equations 2 Mathematical Sciences 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Discrete Dynamics in Nature and Society 1 Analysis (München) 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Computational Methods in Applied Mathematics 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 1 Advances in Numerical Analysis 1 Journal of Applied Mathematics & Informatics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Mathematics 1 Chinese Journal of Mathematics 1 Khayyam Journal of Mathematics
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#### Cited in 13 Fields

 68 Numerical analysis (65-XX) 34 Ordinary differential equations (34-XX) 16 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)