Title Dr. First Name Manju Last Name Sharma
Designation Assistant Professor
Department Department of Mathematics
Email manjusharma@ip.du.ac.in
Webpage
Employement Info
Employee Type Nature Of Employment
Teaching Permanent
Educational Qualifications
Degree/Certification Name Institution Year of Completion
Ph.D. - Doctor of Philosophy Panjab University, Chandigarh 2018
PG Kurukshetra University, Kurukshetra 2009
UG Kurukshetra University, Kurukshetra 2006
Teaching Experience (Within Institution)
Designation Duration
Assistant Professor Presently Working since 26-09-2023 (2 years, 9 months, 9 days)
Research Supervision Overview
PhD Scholars Supervised PhD Degrees Awarded Theses Submitted
1 0 0
Research Publications
Title of Article Type of Publication Name of Journal ISSN Journal Volume Year Link to Article DOI (Digital Object Identifier)
A modified graded mesh and higher order finite element approximation for singular perturbation problems Research Papers in Web of Science Listed Journals Journal of Computational Physics 0021-9991 395 2019 https://doi.org/10.1016/j.jcp.2019.04.073 https://doi.org/10.1016/j.jcp.2019.04.073

A uniformly convergent method for two-parameter singularly perturbed parabolic partial differential equations with a large shift Research Papers in Web of Science Listed Journals Journal of Difference Equations and Application 1563-5120 2024 https://doi.org/10.1080/10236198.2024.2376565 https://doi.org/10.1080/10236198.2024.2376565

Analytic approximation to delayed convection dominated systems through transforms Research Papers in Web of Science Listed Journals Journal of Mathematical Chemistry 1572-8897 52 2014 https://doi.org/10.1007/s10910-014-0394-1 https://doi.org/10.1007/s10910-014-0394-1

A parameter-robust numerical method based on a defect-correction technique for parabolic singular perturbation problems with discontinuous convection coefficient and source Research Papers in Web of Science Listed Journals International Journal of Computational Methods 1793-6969 20 2023 https://doi.org/10.1142/S0219876223500172 https://doi.org/10.1142/S0219876223500172

Analysis of factorization method for elliptic differential equation Research Papers in Scopus Listed Journals Computational Mathematics and Modeling 1573-837X 22 2011 https://doi.org/10.1007/s10598-011-9092-z https://doi.org/10.1007/s10598-011-9092-z
A modified graded mesh and higher order finite element method for singularly perturbed reaction–diffusion problems Research Papers in Web of Science Listed Journals Mathematics and Computers in Simulation 0378-4754 185 2021 https://doi.org/10.1016/j.matcom.2021.01.006 https://doi.org/10.1016/j.matcom.2021.01.006

Iterative analytic approximation to one-dimensional nonlinear reaction-diffusion equations Research Papers in Web of Science Listed Journals Mathematical Methods in the Applied Sciences 1099-1476 44 2020 https://doi.org/10.1002/mma.6840 https://doi.org/10.1002/mma.6840

A wavelet based rationalized approach for the numerical solution of differential and integral equations Research Papers in Scopus Listed Journals Differential Equations and Dynamical Systems 0974-6870 27 2017 https://doi.org/10.1007/s12591-017-0393-3 https://doi.org/10.1007/s12591-017-0393-3

A higher order finite element method with modified graded mesh for singularly perturbed two-parameter problems Research Papers in Web of Science Listed Journals Mathematical Methods in the Applied Sciences 1099-1476 43 2020 https://doi.org/10.1002/mma.6523 https://doi.org/10.1002/mma.6523

An optimal asymptotic-numerical method for convection dominated systems having exponential boundary layers Research Papers in Web of Science Listed Journals Journal of Difference Equations and Application 1563-5120 22 2016 https://doi.org/10.1080/10236198.2016.1194408 https://doi.org/10.1080/10236198.2016.1194408

A higher-order hybrid spline difference method on adaptive mesh for solving singularly perturbed parabolic reaction-diffusion problems with robin-boundary conditions Research Papers in Web of Science Listed Journals Numerical Methods for Partial Differential Equations 1098-2426 39 2022 https://doi.org/10.1002/num.22931 https://doi.org/10.1002/num.22931

Singular perturbed vector field (SPVF) applied to complex ode system with hidden hierarchy application to turbocharger engine model Research Papers in Web of Science Listed Journals International Journal of Nonlinear Sciences and Numerical Simulation 2191-0294 21 2019 https://doi.org/10.1515/ijnsns-2019-0024 https://doi.org/10.1515/ijnsns-2019-0024

A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations Research Papers in Scopus Listed Journals Differential Equations and Dynamical Systems 0974-6870 25 2016 https://doi.org/10.1007/s12591-016-0280-3 https://doi.org/10.1007/s12591-016-0280-3

A parameter uniform difference scheme for parabolic partial differential equation with a retarded argument Research Papers in Web of Science Listed Journals Applied Mathematical Modeling 1872-8480 34 2010 https://doi.org/10.1016/j.apm.2010.04.020 https://doi.org/10.1016/j.apm.2010.04.020
An asymptotic-numerical method for a class of weakly coupled convection dominated systems Research Papers in Web of Science Listed Journals Numerical Functional Analysis and Optimization 1532-2467 40 2019 https://doi.org/10.1080/01630563.2019.1615946 https://doi.org/10.1080/01630563.2019.1615946

Convergence analysis of weighted difference approximations on piecewise uniform grids to a singularly perturbed functional differential equation Research Papers in Web of Science Listed Journals Journal of Optimization Theory and Application 1573-2878 155 2011 https://doi.org/10.1007/s10957-011-9965-5 https://doi.org/10.1007/s10957-011-9965-5

A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes Research Papers in Web of Science Listed Journals Numerical Algorithms 1572-9265 2023 https://doi.org/10.1007/s11075-023-01721-8 https://doi.org/10.1007/s11075-023-01721-8

An adaptive mesh generation and higher-order difference approximation for the system of singularly perturbed reaction-diffusion problems Research Papers in Scopus Listed Journals Partial Differential Equations in the Applied Mathematics 2666-8181 11 2024 https://doi.org/10.1016/j.padiff.2024.100750 https://doi.org/10.1016/j.padiff.2024.100750

A semi-analytical method for solving problems on the role of prey taxis in a biological control-mathematical model Research Papers in Scopus Listed Journals Journal of Multiscale Modelling 1756-9745 10 2018 https://doi.org/10.1142/S1756973718500099 https://doi.org/10.1142/S1756973718500099
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