Ministry of Education
Sonali Kaushik
VIDWAN ID: 445955

Dr Sonali Kaushik

Female Doctor of Philosophy
Assistant Professor (Grade-I) | School of Advanced Sciences
Vellore Institute of Technology - Andhra Pradesh
Andhra Pradesh
Expertise: Applied Mathematics
ORCID 0000-0003-4628-0928 Scopus 57468428300
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11 Publications
0 Projects
46 Scopus Citations
37 CrossRef
3 Years 3 Months Total Experience
Publications
11 Total
Articles
10
Proceedings
1
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46 Citations
3 h-index
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37 Citations
3 h-index
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Professional Recognition

GATE (MA) AIR 594
2018
Ministry of Education, Government of India

Community & Membership

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Personal Details

Doctor of Philosophy
2023
Central Institute of Post Harvest Engineering and Technology
Master of Science
2016
Maulana Azad National Urdu University
Master of Arts
2014
N/A
Assistant Professor (Grade-I)
Jun 2023 – Present
Vellore Institute of Technology - Andhra Pradesh | School of Advanced Sciences
Physical Sciences
Applied Mathematics

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Scholarly Work

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Scholarly Publications

Qualitative Analysis of a Novel Numerical Method for Solving Non-linear Ordinary Differential Equations

Journal Article
International Journal of Applied and Computational Mathematics. Year: 2024. Volume: 10 , Issue: 3 .
Authors: Sonali Kaushik; Rajesh Kumar
DOI 10.1007/s40819-024-01735-3 Scopus Scopus: 1

Laplace transform-based approximation methods for solving pure aggregation and breakage equations

Open Access
Journal Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES. Year: 2023. Volume: 46 , Issue: 16 , Pages: 17402-17421 .
Authors: Sonali Kaushik; Saddam Hussain; Rajesh Kumar
DOI 10.1002/mma.9507 Crossref Crossref: 15 Scopus Scopus: 18

Optimized decomposition method for solving multi-dimensional Burgers’ equation

Open Access
Journal Article
Mathematics and Computers in Simulation. Year: 2023. Volume: 208 , Pages: 326-350 .
Authors: Sonali Kaushik; Rajesh Kumar
DOI 10.1016/j.matcom.2023.01.043 Crossref Crossref: 6 Scopus Scopus: 7

A novel optimized decomposition method for Smoluchowski's aggregation equation

Journal Article
Journal of Computational and Applied Mathematics. Year: 2023. Volume: 419 .
Authors: Sonali Kaushik; Rajesh Kumar
DOI 10.1016/j.cam.2022.114710 Crossref Crossref: 15 Scopus Scopus: 17

Steady-state solution for discrete Oort-Hulst-Safronov coagulation equation

Journal Article
International Journal of Dynamical Systems and Differential Equations. Year: 2023. Volume: 13 , Issue: 2 , Pages: 144-163 .
Authors: Sonali Kaushik; Rajesh Kumar
DOI 10.1504/IJDSDE.2023.130311

Theoretical analysis of a discrete population balance model with sum kernel

Open Access
Journal Article
Portugaliae Mathematica. Year: 2023. Volume: 80 , Issue: 3-4 , Pages: 343-367 .
Authors: Sonali Kaushik; Rajesh Kumar; Fernando P. da Costa
DOI 10.4171/PM/2103 Scopus Scopus: 1

Existence, Uniqueness and Mass Conservation for Safronov-Dubovski Coagulation Equation

Journal Article
Acta Applicandae Mathematicae. Year: 2022. Volume: 179 , Issue: 1 .
Authors: Sonali Kaushik; Rajesh Kumar
DOI 10.1007/s10440-022-00497-8 Crossref Crossref: 1 Scopus Scopus: 2

Global Uniqueness Theorem for a Discrete Population Balance Model with Application in Astrophysics

Conference Paper
Year: 2022. Pages: 61-73 .
Authors: Sonali Kaushik; Rajesh Kumar
DOI 10.1007/978-981-16-7857-8_6
Showing 1 to 8 of 11 publications