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SOUTH ASIAN UNIVERSITY

A University Established by SAARC Nations

SOUTH ASIAN UNIVERSITY

A University established by SAARC Nations

Ranjan Kumar Mohanty

Honorary Adjunct Professor, NASI Senior Scientist
PhD (Indian Institute of Technology Delhi, 1990)

Contact Details

rmohanty(at)sau.ac.in
Department of Applied Mathematics, South Asian University ,Rajpur Rd, Maidan Garhi, New Delhi-110068, India
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Prof. Ranjan Kumar Mohanty received his Ph.D. degree from the Department of Mathematics, Indian Institute of Technology (IIT) Delhi, in 1990, for his research on “Numerical Methods for Partial Differential Equations.” After Ph.D, he has more than 36 years of teaching and research experience at the University of Indore, the University of Delhi, and South Asian University (SAU).

Prof. Mohanty is a recipient of the prestigious Fulbright-Nehru Senior Research Fellowship (2013), Commonwealth Fellowship (2000), and BOYSCAST Fellowship (1996). Under these fellowship programmes, he carried out postdoctoral research at Louisiana Tech University, USA; Nottingham Trent University, UK; and Loughborough University, UK. He has also visited the Technical University of Dresden, Germany; the University of Strathclyde, Scotland; Nottingham Trent University, England; and the Chinese Academy of Sciences, Beijing, China, under the INSA-DFG, INSA-Royal Society, and INSA-CAS bilateral exchange programmes to pursue advanced research in his field.

Prof. Mohanty has published more than 250 research papers in reputed international journals. He has successfully guided 32 Ph.D. students. He has delivered numerous invited lectures and served as a resource person at various academic institutions and conferences in India and abroad. He is also a regular reviewer for several national and international journals.

In recognition of his significant contributions to research in his field, Prof. Mohanty was elected a Fellow of the National Academy of Sciences, India (FNASc), in 2012. He was also awarded the NASI Senior Scientist position at South Asian University (SAU) in 2026.

Qualifications

  • PhD in Mathematics from Indian Institute of Technology Delhi , in 1990
  • M.Sc. in Mathematics from Utkal University, Bhubaneswar , in 1984

Research Interests

  • Computational Fluid Dynamics; Numerical Methods based on Splines, Galerkin, Collocation, Finite Difference, Finite Element, Spectral, Finite Volume, etc. for the solution of quasi-linear PDEs.

Recent Important Publications (During Last 05 years)


  • ANKIT PANDEY,  ANAND  SINGH, R.K. MOHANTY and  BALRAM DUBEY, “A Crank–Nicolson enhanced two-phase PINNs for solving parabolic PDEs: applications to incompressible Navier–Stokes and Predator–Prey systems”, Engineering with Computers, Vol. 42, ID:90 (2026). 
  • R.K.MOHANTY  and NIRANJAN, “A novel sixth-order compact numerical algorithm for 3D nonlinear elliptic PDEs on a cubic grid: Relevance to multi-harmonic elliptic BVPs”, Results in Applied Mathematics, Vol. 30, ID: 100700 (2026).  
  • ANKIT PANDEY and  R.K.MOHANTY, “A new third-order accurate spline-in-tension method for nonlinear two-point boundary value problems on a graded mesh with Robin boundary conditions”,  Computational and Applied Mathematics, Vol. 45, ID: 57 (2026). 
  • R.K. MOHANTY  and ANKIT PANDEY, “Compact fourth-order cubic spline approximation for non-linear two-point Robin boundary value problems”, International Journal of Modeling, Simulation, and Scientific Computing, Vol. 17, ID: 2550082 (2026).  
  • KAJAL MITTAL, RAJENDRA K RAY and R.K. MOHANTY, “Two-level Implicit High Accuracy Method in Exponential Form for 2D Quasi-linear Parabolic Equations on Irrational Domain”, Numerical Methods for Partial Differential Equations, Vol. 41, ID: 70049 (2025).

  • DIVYA SHARMA,  KAJAL  MITTAL, DEEPTI  KAUR, RAJENDRA K RAY and R.K. MOHANTY, "A new half-step compact exponential approximation for solution of 2D fourth-order non-linear parabolic equations”, Journal of Difference Equations and Applications,  Vol. 31, pp. 892-926 (2025). 
  • DIVYA SHARMA, KAJAL  MITTAL, DEEPTI  KAUR, RAJENDRA K RAY and R.K. MOHANTY, "High accuracy two-level compact implicit method in exponential form for 2D fourth order quasi-linear parabolic equations", Numerical Algorithms, Vol. 100, pp.1239-1287 (2025). 
  • DEEPTI  KAUR and R.K. MOHANTY, "High order half-step compact numerical approximation for fourth order parabolic PDEs”, Numerical Algorithms, Vol. 95, pp. 1127-1153 (2024).
  • R.K. MOHANTY and NIRANJAN, “A class of new implicit compact sixth-order approximations for Poisson equations and the estimates of normal derivatives in multi-dimensions”, Results in Applied Mathematics, Vol. 22, ID: 100454 (2024).
  • R.K. MOHANTY and  DIVYA  SHARMA, “A new 2-level implicit high accuracy compact exponential approximation for the numerical solution of nonlinear fourth order Kuramoto–Sivashinsky and Fisher-Kolmogorov equations”, Journal of Mathematical Chemistry,  Vol. 62, pp. 973-1011 (2024) .
  • R.K. MOHANTY and NIRANJAN, “Sixth order compact multi-phase block-AGE iteration methods for computing 2D Helmholtz equation”, MethodsX, Vol. 12, ID: 102633 (2024).
  • R.K. MOHANTY and NIRANJAN, “Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: Application to bi- and tri-harmonic boundary value problems”, Computers and Mathematics with Applications, Vol. 152, pp. 239-249 (2023).
  • R.K. MOHANTY,  “Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems”,  Journal of Mathematical Chemistry,  Vol. 61, pp. 2123-2145 (2023).
  • R.K. MOHANTY and B.P. GHOSH, “Spline-in-compression approximation of order of accuracy three (four) for second order non-linear IVPs on a graded mesh”, MethodsX, Vol. 11, ID: 102308 (2023).
  • R.K. MOHANTY and DIVYA  SHARMA, “A new 2- level compact off-step implicit method in exponential form for the solution of  fourth order nonlinear parabolic equations: Application to fourth order nonlinear Fisher-Kolmogorov equation”, Journal of Mathematical Chemistry, Vol. 61, pp. 1165-1204 (2023).
  • R.K. MOHANTY, B.P. GHOSH and GUNJAN  KHURANA, “High precision numerical method for 1D quasilinear hyperbolic equations on a time graded mesh: application to telegraph model equation”, Soft Computing,  Vol. 27, pp. 6095-6107 (2023).
  • NIKITA  SETIA and R.K. MOHANTY, “Higher order approximation in exponential form based on half-step grid-points for 2D quasilinear elliptic BVPs on a variant domain”, MethodsX, Vol. 10, ID: 101980 (2023).
  • GEETAN MANCHANDA, GUNJAN KHURANA and R.K. MOHANTY, “Super-stable spline- in-tension numerical method of order three(four) for the second order nonlinear IVPs”, Journal of Mathematical Chemistry,  Vol. 61, pp. 950-974 (2023). 
  • NIKITA  SETIA  and  R.K. MOHANTY, “A high accuracy variable mesh numerical approximation for two point nonlinear BVPs  with mixed boundary conditions”, Soft Computing, Vol. 26, pp. 9805-9821 (2022).
  • R.K. MOHANTY and B.P. GHOSH, “A High Resolution Bi-parametric Unconditionally Stable ADI Method for 2D Uniform Transmission Line Equation”, Computational and Applied Mathematics, Vol. 41, ID: 299 (2022).
  • R.K. MOHANTY, NIKITA  SETIA, GUNJAN  KHURANA and GEETAN  MANCHANDA, “High Precision Compact Numerical Approximation in Exponential Form for the System of 2D Quasilinear Elliptic BVPs on a Discrete Irrational Region”, MethodsX, Vol. 9, ID: 101790 (2022).
  •  R.K. MOHANTY, B.P. GHOSH and U. ARORA, “High Precision Implicit Method for 3D Quasilinear Hyperbolic Equations on a Dissimilar Domain: Application to 3D Telegraphic Equation”, Computers and Mathematics with Applications, Vol. 122, pp. 93-116 (2022).
  • ISHAANI  PRIYADARSHINI  and  R.K. MOHANTY, “High Resolution compact Numerical Method for the System of 2D Quasilinear Elliptic Boundary Value Problems and the Solution of Normal Derivatives on an Irrational Domain with Engineering Applications”,  Engineering with Computers,  Vol. 38, pp. S539-S560 (2022).
  • R.K. MOHANTY and B.P. Ghosh,  “High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain”, Applied Numerical Mathematics, Vol. 172, pp. 446-474 (2022).
  • GEETAN  MANCHANDA,  R.K. MOHANTY and  ARSHAD  KHAN, “A High Accuracy Compact Semi-constant Mesh Off-step Discretization in Exponential Form for the Solution of Non-linear Elliptic Boundary Value Problems”, Journal of Difference Equations and Applications, Vol. 27, pp. 531-556 (2021).
  • R.K. MOHANTY, LI YUAN  and DIVYA  SHARMA,   “A New Exponential Compact Scheme for the Two-dimensional Unsteady Nonlinear Burgers’ and Navier-Stokes Equations in Polar Cylindrical Coordinates”, Numerical Mathematics: Theory, Methods and Applications, Vol. 14, pp. 488-507 (2021).
  • R.K. MOHANTY  and  SACHIN  SHARMA, “A new high accuracy method based on off-step cubic polynomial approximations for the solution of coupled Burgers’ equations and Burgers-Huxley equation”, Engineering with Computers, Vol. 37, pp. 3049-3066 (2021).
  • R.K. MOHANTY,  KAJAL  MITTAL  and  DEEPTI  KAUR, “A new high accuracy off-step cubic spline approximations on a quasi-variable mesh for the system of  nonlinear parabolic equations in one space dimension”, International Journal for Computational Methods in Engineering Science & Mechanics, Vol. 22, pp. 123-137 (2021).
  • R.K. MOHANTY and  SACHIN  SHARMA, “A new high-resolution two-level implicit method based on non-polynomial spline in tension approximations for time- dependent quasi-linear biharmonic equations with engineering applications”, Engineering with Computers, Vol. 37, pp. 2073-2087 (2021).
  • NIKITA  SETIA  and  R.K. MOHANTY, “A Third Order Finite Difference Method on a Quasi-Variable Mesh for Non-linear Two Point Boundary Value Problems with Robin Boundary Conditions”, Soft Computing, Vol. 25, pp. 12775-12788 (2021).
  • R.K. MOHANTY  and BISHNU PADA GHOSH, “Absolute stability of an implicit method based on third-order off-step discretization for the initial-value problem on a graded mesh”, Engineering with Computers,Vol. 37, pp. 809-822 (2021).
  • R.K. MOHANTY,  RAVINDRA  KUMAR  and  NIKITA  SETIA, “Cubic  spline  approximation based on half-step discretization for  2D  quasilinear  elliptic  equations”, International Journal for Computational Methods in Engineering Science & Mechanics, Vol. 22, pp. 45-59 (2021).
  • ISHAANI  PRIYADARSHINI  and  R.K. MOHANTY, “High Resolution Half-step Compact Numerical Approximation for 2D Quasilinear Elliptic Equations in Vector Form and the Estimates of Normal Derivatives on an Irrational Domain”, Soft Computing, Vol. 25, pp. 9967-9991 (2021).
  • R.K. MOHANTY, B.P. GHOSH and  SEAN  McKEE, “On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem”, Computational and Applied Mathematics, Vol. 40, ID: 35 (2021).

Awards & Honours

  • Chinese Academy of Sciences (CAS) Fellowship-2019 Awardee, sponsored by The Chinese Academy of Sciences, Beijing and INSA, New Delhi. Research in ‘On the High Order Numerical Methods for Incompressible Fluid Flow Problems’ at the Institute of Computational Mathematics & Scientific/Engineering Computing, Academy of Mathematics & System Science, Chinese Academy of Sciences, Beijing, CHINA ( 24-06-2019 to 21-07-2019).
  • Elected, Fellow of the Indian Academy of Mathematical Modeling and Simulation (FIAMMS)-2018
  • Royal Society Fellowship Awardee, sponsored by The Royal Society of Edinburgh and INSA, New Delhi. Research in ‘Stability of Numerical Schemes for Second Order Initial Value Problems on Variable Mesh’ at University of Strathclyde, Glasgow, Scotland, U.K. (01-10-2014 to 28-10-2014).
  • Fulbright Nehru Senior Research Fellowship 2013 Awardee, sponsored by The United States-India Educational Foundation (USIEF), New Delhi.Research in ‘Computational Fluid Dynamics’ at the Louisiana Tech University, USA . (01-11-2013 to 30-04-2014)
  • Elected, Fellow of the National Academy of Sciences, India (FNASc) 2012.
  • DFG Fellowship Awardee, sponsored by The Deutsche Forschungsgemeinschaft (The German Research Foundation) under INSA-DFG Bilateral Exchange Programme.Research in ‘High Order Discretizations in Partial Differential Equations and Singular Perturbation’ at the Institute of Numerical Mathematics, Technical University Dresden, Germany. (01-06-2008 to 31-08-2008).
  • Royal Society Fellowship Awardee, sponsored by The Royal Society of London under INSA-Royal Society Bilateral Exchange Program.Research in ‘Recent Parallel Computational Methods for Differential Equations’ at The Nottingham Trent University, U.K. (24-03-2004 to 23-06-2004).
  • Commonwealth Fellowship Awardee, sponsored by The British Council, London. Research in ‘Applied Numerical Analysis’ at The Nottingham Trent University, U.K. (01-10-2000 to 30-09-2001).
  • BOYSCAST Fellowship Awardee, sponsored by the Department of Science and Technology, Government of India.Research in ‘Parallel Computational Methods’ at Loughborough University, U.K. (01-05-1996 to 30-04-1997).
  • Selected, NASI Senior Scientist -2026.

Last Updated : 22 Aug 2026