Prof Ranjan Kumar Mohanty
Professor
| Department of Mathematics
South Asian University
(2012 - 2026)
Delhi
Expertise:
Applied Mathematics
198
Publications
2
Projects
2144
Scopus Citations
1584
CrossRef
17 Years 9 Months Total Experience
Scopus
2,144
Citations
24
h-index
CrossRef
1,584
Citations
20
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Google Scholar
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Professional Recognition
Elected Fellow of National Academy of Sciences (Allahabad
2012
National Academy of Sciences, Allahabad
Fulbright-Nehru Senior Research Fellowship
2013
United States-India Educational Foundation (USIEF)
DFG Fellowship under INSA-DFG Bilateral Exchange Program
2008
The German Research Foundation (The Deutsche Forschungsgemeinschaft)
Royal Society Fellowship under INSA-RSL Bilateral Exchange Program
2003
The Royal Society of London
Commonwealth Fellowship
2000
The British Council
BOYSCAST Fellowship
1996
The Department of Science and Technology, Govt of India.
Royal Society Fellowship under INSA-RSE Bilateral Exchange Program
2014
The Royal Society of Edinburgh
Chinese Academy of Sciences Fellowship under INSA-CAS Bilateral Exchange Program
2019
Chinese Academy of Sciences, Beijing
Community & Membership
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Indian Society of Industrial and Applied Mathematics
Life MemberIndian Academy for Mathematical Modeling and Simulation
Life MemberOdisha Mathematical Society
Life MemberPersonal Details
Doctor of Philosophy
1990
N/A
Professor
Aug 2012 – Apr 2026
South Asian University
| Department of Mathematics
Professor
Aug 2008 – Aug 2012
University of Delhi
| Department of Mathematics
Physical Sciences
Scholarly Work
Fast Numerical Methods in Exponential Form for Multi-dimensional Second- and Fourth-order Quasilinear Parabolic Partial Differential Equations
CompletedOn the Spline Solution of Multi-dimensional Hyperbolic Equations
CompletedFourth Order Finite Difference Methods for Multi-dimensional Non-linear/Linear Singular Hyperbolic Equations with Variable Coefficients
Finite Difference Methods of Order Two and Four for the System of Multi-dimensional Non-linear Biharmonic Equations
Single Cell High Order Approximations for (∂u/∂n) for Multi-dimensional Quasi-linear Elliptic Partial Differential Equations
High Accuracy Difference Schemes for Certain Mildly Quasi-linear Hyperbolic Equations
Single Cell Discretization of O(k2+h4) for the Estimates of (∂u/∂n) for Multi-dimensional Mildly Quasi-linear Parabolic Equations
Alternating Group Explicit Methods for the Numerical Solution of Two Point Singular Boundary Value Problems
Highly Accurate Variable Mesh Two Parameter Alternating Group Explicit Methods for the solution of Boundary Value Problems
New Highly Accurate Discretization for the Solution and the Estimates of (∂u/∂n) for Singularly Perturbed Non-linear Multi-dimensional Elliptic and Parabolic Partial Differential Equations
High Accuracy Numerical Methods for the Solution of Non-linear Boundary Value Problems
A Class of Efficient Finite Difference Discretization for the Solution of Second Order Quasi- linear Hyperbolic Equations
Spline Methods for the Numerical Solution of Partial Differential Equations
Numerical Treatment for the Solution of Multi-dimensional Second Order Nonlinear Hyperbolic Equations
Single Cell High Accuracy Discretization for the Solution of Multi-dimensional Non-linear Bi- and Tri-harmonic Elliptic Boundary Value Problems
Alternating Group Explicit Methods for the Solution of Nonlinear Differential Equations
High Accuracy Off-step Discretizations for the System of Multi-dimensional Quasi-linear Elliptic and Parabolic Partial Differential Equations
Efficient Numerical Algorithms for Quasi-linear Elliptic and Hyperbolic Partial Differential Equations
Efficient Numerical Algorithms for Higher Even Order Nonlinear Two Point Boundary Value Problems on a Variable Mesh
High Accuracy Compact Difference Methods for Multi-dimensional Fourth Order Quasi-linear Parabolic Partial Differential Equations
Numerical Solution of the System of Nonlinear Singular Two Point Boundary Value Problems on a Variable Mesh
High Accuracy Half-step Discretizations for the Solution of Multi-dimensional Quasi-linear Hyperbolic Partial Differential Equations
High Accuracy Numerical Methods Based on Spline Approximations for 1-D Quasilinear Parabolic and Time-dependent Biharmonic Equations
High Accuracy Compact Numerical Methods for Nonlinear Biharmonic Problems of First Kind
High Accuracy Numerical Methods in Exponential form for the Solution of Non-linear Boundary Value Problems
High Resolution Numerical Approximations for Nonlinear Initial and Hyperbolic Initial-boundary Value Problems
High Resolution Numerical Algorithms in Exponential Form for the Solutions of One and Two Space Dimensional Quasilinear Parabolic Equations
Sixth-order Compact Approximations for Nonlinear Elliptic and Parabolic Partial Differential Equations
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Scholarly Publications
A Crank–Nicolson enhanced two-phase PINNs for solving parabolic PDEs: applications to incompressible Navier–Stokes and Predator–Prey systems
An efficient Bell wavelet-based integral formulation for the solution of singular Lane–Emden equations in astrophysics and biology
Difference Methods of Order Two and Four for Systems of Mildly Nonlinear Biharmonic Problems of the Second Kind in Two Space Dimensions
High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations
Fourth order operator splitting method for the three space parabolic equation with variable coefficients
Fourth order finite difference methods for the system of 2-d nonlinear elliptic equations with variable coefficients
Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations
Families of accurate discretizations of order two and four for 3-D mildly nonlinear biharmonic problems of second kind
Showing 1 to 8 of 198 publications