Numerical Methods for Evolutionary Equations with Delay and Software Package PDDE. - Vladimir G. Pimenov; Andrey Lozhnikov (NAA, 2012)

Convergence of the scheme with weights for the numerical solution of a heat conduction equation with delay for the case of variable coefficient of heat conductivity. - Andrey Lekomtsev; Vladimir G. Pimenov (Appl. Math. Comput., 2015)

Numerical Methods for a Class of Fractional Advection-Diffusion Models with Functional Delay. - Vladimir G. Pimenov; Ahmed S. Hendy (NAA, 2016)

A numerical solution for a class of time fractional diffusion equations with delay. - Vladimir G. Pimenov; Ahmed S. Hendy (Int. J. Appl. Math. Comput. Sci., 2017)

On a class of non-linear delay distributed order fractional diffusion equations. - Vladimir G. Pimenov; Ahmed S. Hendy; Rob H. De Staelen (J. Comput. Appl. Math., 2017)

Difference Schemes for the Nonlinear Equations in Partial Derivatives with Heredity. - T. V. Gorbova; Vladimir G. Pimenov; Svyatoslav I. Solodushkin (FDM, 2018)

A semi-linear delayed diffusion-wave system with distributed order in time. - Ahmed S. Hendy; Rob H. De Staelen; Vladimir G. Pimenov (Numer. Algorithms, 2018)

Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong? - Mahmoud A. Zaky; Ahmed S. Hendy; Anatoly A. Alikhanov; Vladimir G. Pimenov (Commun. Nonlinear Sci. Numer. Simul., 2021)

An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function. - Abdelrahim K. Omran; Mahmoud A. Zaky; Ahmed S. Hendy; Vladimir G. Pimenov (Math. Comput. Simul., 2022)