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Danumjaya Palla

goa Mathematics

Professor

Computational PDEs, Numerical Analysis
Department of Mathematics, BITS-Pilani KK Birla Goa Campus, Goa-403726, India.
danu@goa.bits-pilani.ac.in
danuiitb@gmail.com
0832-2580144
9850275789

Publications

 

  1. Monalisa Anand, P. Danumjaya, and Merina Dhara, Dynamic Epidemic Model on Tuberculosis Infection among Diabetes population with Time Delays, Nonlinear Dynamics and Systems Theory (Accepted)

  2. P. Danumjaya, Anil Kumar, and Amiya K. Pani, Asymptotic Behavior of the Semidiscrete FE Approximations to Weakly Damped Wave Equations With Minimal Smoothness on Initial Data, Mathematical Methods in the Applied Sciences, 2025; 0:1-17.

  3. P. Danumjaya and Merina Dhara, Dynamic Modeling, Analysis of Tuberculosis Infection among Diabetic Patients and Parameters Estimation Using Physics Informed Neural Networks, SN Computer Science, (2025) 6:118.

  4. Akshaya Das, P. Danumjaya and Merina Dhara, Parameter Estimation of Prey-Predator Models with Functional Response using Physics Informed Neural Networks (PINNs), J. Innovation Sciences and Sustainable Technologies, 5(1)(2025), 1-21.

  5. Jai Prakash Tripathi, Nitesh Kumawat, Komal Tanwar, P. Danumjaya, and Maia Martcheva; Transmission Dynamics of COVID-19 with Diabetes in India: A Cost-Effective and Optimal Control Analysis, Journal of Biological Systems, Vol. 32, 139 (2024).
  6. Santosh Kumar Bhal, P. Danumjaya and G. Fairweather, An ADI Crank-Nicolson Orthogonal Spline Collocation Method for 2D Parabolic Problems with an Interface, Comput. Math. Appl. Vol. 160, 142-147 (2024).
  7. Suman Shekhar, Ravi Ragoju, D. Yadav, and P. Danumjaya, The Effect of First-Order Chemical Reaction on Rotating Rayleigh-Benard Convection in a Sparsely Packed Porous Layer, Discontinuity, Nonlinearity, and Complexity, Vol. 13(2), 555-565 (2024).
  8. M. Anand, P. Danumjaya, P.R.S. Rao, Influence of incubation delays on Covid-19 transmission in diabetic and non-diabetic populations - an endemic prevalence case, Comput. Math. Biophys. 11(1) (2023).
  9. M. Thamban Nair and P. Danumjaya, A new regularization for time-fractional backward heat conduction problem, J. Inverse Ill-Posed Probl. (2023).
  10. M. Anand, P. Danumjaya, P.R.S. Rao, A nonlinear mathematical model on the Covid-19 transmission pattern among diabetic and non-diabetic population, Math Comput Simul, 210 (2023) 346-369.
  11. P. Danumjaya, K. Balaje, Discontinuous Galerkin finite element methods for onedimensional Rosenau equation, J. Anal, (2022) https://doi.org/10.1007/s41478-022-00406-0
  12. P. Danumjaya, Ambit Kumar Pany and Amiya K. Pani, Morley FEM for the fourth-order nonlinear reaction-diffusion problems, Comput. Math. Appl. 99,(2021) 229-245.
  13. P. Danumjaya and Monalisa Anand, Modeling Perspective of Diabetes Mellitus with Tuberculosis, J. Innovation Sciences and Sustainable Technologies, 1(2) (2021), 121- 140.
  14. Santosh Kumar Bhal, P. Danumjaya, and Graeme Fairweather, The Crank-Nicolson Orthogonal Spline Collocation Method for One-Dimensional Parabolic Problems with Interfaces, Jour. of Comp and Appl. Math. 383, 1-10 (2021).
  15. Santosh Kumar Bhal, P. Danumjaya and Graeme Fairweather, High-Order Orthogonal Spline Collocation Methods for Two-Point Boundary Value Problems with Interfaces, Math. Comput. Simulation, 174, 102-122 (2020).
  16. Santosh Kumar Bhal, P. Danumjaya and Graeme Fairweather, A FourthOrder Orthogonal Spline Collocation Method for Two-Dimensional Helmholtz Problems with Interfaces, Numer. Methods Partial Differential Eq. 36(6), 1811-1829 (2020).
  17. P. Danumjaya and Merina Dhara, Stability Preserving Non-Standard Finite Difference Schemes for Diabetes with Tuberculosis Infectious Model, Lett. Biomath. 6(2), 1-18 (2019).
  18. P. Danumjaya, Santosh Kumar Bhal and Anil Kumar, Orthogonal Spline Collocation Methods for fourth-order Linear and Nonlinear Boundary Value Problems, Int. J. Comput. Methods Eng. Sci. Mech, 20(5), 460-470 (2019).
  19. P. Danumjaya and Santosh Kumar Bhal, A Fourth Order Orthogonal Spline Collocation Methods for the One-Dimensional Helmholtz equation with a discontinuous Coefficient, J Anal, 27, 377-390 (2019).
  20. P. Danumjaya, Merina Dhara and Veeky Baths, Mathematical modeling and dynamics of tuberculosis infection among diabetic patients in India, J Anal, 27, 451-463 (2019).
  21. P. Danumjaya, Finite Element Methods for onedimensional fourth-order semilinear partial differential equation, Int. J. Appl. Comput. Math, 2, 395-410 (2016).
  22. P. Danumjaya and Amiya K. Pani, Mixed Finite Element Methods for a fourth order reaction diffusion equation, Numer. Methods Partial Differential Eq., vol. 28, pp. 1227-1251 (2012).
  23. P. Danumjaya and Hari Shanker Gupta, An ill-posed Cauchy problem for second order elliptic equation appearing in a sonic boom, Technical Report, IISc, Bangalore (2008).
  24. P. Danumjaya and A. K. Nandakumaran, Orthogonal cubic spline collocation method for the Cahn-Hilliard equation, Applied Mathematics and Computation, 182 pp 1316-1329, (2006).
  25. P. Danumjaya and Amiya K. Pani, Numerical Methods for the Extended Fisher-Kolmogorov (EFK) equation, Int. Jour. Numer. Anal. Model. Vol 3, Number 2, pp 186-210, (2006).
  26. P. Danumjaya and Amiya K. Pani, Orthogonal Cubic Spline Collocation Method for the Extended Fisher-Kolmogorov (EFK) equation, Jour. of Comp and Appl. Math., Vol 174/1 pp 101-117, (2004).
  27. P. Danumjaya, An orthogonal cubic spline collocation method for the Fisher-Kolmogorov (FK) equation, Industrial Mathematics, Alpha Science Int’l Ltd., 2006.
  28. P. Dhanumjaya and A. K. Pani, Finite element method for the extended Fisher-Kolmogorov (EFK) equation, Differential Equations and Dynamical Systems, Ed. D. Bhaguna, Narosa Publ. House, New Delhi, (2005).
  29. P. Danumjaya and Amiya K. Pani, Semidiscrete Galerkin Method for the Extended Fisher-Kolmogorov (EFK) equation, Proceedings of International Conference on Nonlinear Systems: Modelling, Simulation and Applications, held December: 26-29 (2000), Nanded, India.

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