A Solution of Nonlinear Diffusion Problems by Semilinear Reaction-Diffusion Systems. - Hideki Murakawa (Kybernetika, 2009)

Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium. - Danielle Hilhorst; Hideki Murakawa (Networks Heterog. Media, 2014)

Error Estimates for Discrete-Time Approximations of Nonlinear Cross-Diffusion Systems. - Hideki Murakawa (SIAM J. Numer. Anal., 2014)

Carbon-Nanotube Geometries as Optimal Configurations. - Edoardo Mainini; Hideki Murakawa; Paolo Piovano; Ulisse Stefanelli (Multiscale Model. Simul., 2017)

A linear finite volume method for nonlinear cross-diffusion systems. - Hideki Murakawa (Numerische Mathematik, 2017)

Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry analysis approach. - Motlatsi Molati; Hideki Murakawa (Commun. Nonlinear Sci. Numer. Simul., 2019)

Convergence of a Fully Discrete and Energy-Dissipating Finite-Volume Scheme for Aggregation-Diffusion Equations. - Rafael Bailo; José A. Carrillo 001; Hideki Murakawa; Markus Schmidtchen (CoRR, 2020)

A new paradigm considering multicellular adhesion, repulsion and attraction represent diverse cellular tile patterns. - José A. Carrillo 001; Hideki Murakawa; Makoto Sato; Miaoxing Wang (PLoS Comput. Biol., 2025)