Orthogonal cubic spline collocation method for the Cahn-Hilliard equation. - P. Danumjaya; A. K. Nandakumaran (Appl. Math. Comput., 2006)

On the Penalty term for the Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation. - K. Balaje; P. Danumjaya (CoRR, 2019)

Discontinuous Galerkin Finite Element Methods for 1D Rosenau Equation. - P. Danumjaya; K. Balaje (CoRR, 2019)

High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces. - Santosh Kumar Bhal; P. Danumjaya; Graeme Fairweather (Math. Comput. Simul., 2020)

Morley FEM for the fourth-order nonlinear reaction-diffusion problems. - P. Danumjaya; Ambit Kumar Pany; Amiya Kumar Pani (Comput. Math. Appl., 2021)

The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces. - Santosh Kumar Bhal; P. Danumjaya; Graeme Fairweather (J. Comput. Appl. Math., 2021)

Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data. - P. Danumjaya; Anil Kumar; Amiya Kumar Pani (CoRR, 2023)

A new regularisation for time-fractional backward heat conduction problem. - M. Thamban Nair; P. Danumjaya (CoRR, 2023)

A nonlinear mathematical model on the Covid-19 transmission pattern among diabetic and non-diabetic population. - Monalisa Anand; P. Danumjaya; P. Raja Sekhara Rao (Math. Comput. Simul., 2023)

An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface. - Santosh Kumar Bhal; P. Danumjaya; Graeme Fairweather (Comput. Math. Appl., 2024)

A Regularization for Time-Fractional Backward Heat Conduction Problem with Inhomogeneous Source Function. - Vighnesh V. Alavani; P. Danumjaya; M. Thamban Nair (CoRR, 2024)

Dynamic Modeling, Analysis of Tuberculosis Infection Among Diabetic Patients and Parameters Estimation Using Physics Informed Neural Networks. - P. Danumjaya; Merina Dhara (SN Comput. Sci., 2025)