Skip to main content
placeholder image

Comparison theorems for multicomponent diffusion systems: Developments since 1961

Journal Article


Abstract


  • Comparison theorems may be used to prove the existence and uniqueness of solutions to certain types of partial differential equations. They provide bounds for solutions and can be used as the basis of numerical techniques for the computation of solutions. In 1961 Alex McNabb published one of the first papers extending their use to multi-component systems. Developments in the theory and applications of such results, through citations of this original paper, are reviewed. © Journal of Applied Mathematics & Decision Sciences.

Publication Date


  • 2001

Citation


  • Nelson, M. I. (2001). Comparison theorems for multicomponent diffusion systems: Developments since 1961. Journal of Applied Mathematics and Decision Sciences, 4(2), 151-163. doi:10.1155/S1173912600000110

Scopus Eid


  • 2-s2.0-52549122550

Web Of Science Accession Number


Start Page


  • 151

End Page


  • 163

Volume


  • 4

Issue


  • 2

Abstract


  • Comparison theorems may be used to prove the existence and uniqueness of solutions to certain types of partial differential equations. They provide bounds for solutions and can be used as the basis of numerical techniques for the computation of solutions. In 1961 Alex McNabb published one of the first papers extending their use to multi-component systems. Developments in the theory and applications of such results, through citations of this original paper, are reviewed. © Journal of Applied Mathematics & Decision Sciences.

Publication Date


  • 2001

Citation


  • Nelson, M. I. (2001). Comparison theorems for multicomponent diffusion systems: Developments since 1961. Journal of Applied Mathematics and Decision Sciences, 4(2), 151-163. doi:10.1155/S1173912600000110

Scopus Eid


  • 2-s2.0-52549122550

Web Of Science Accession Number


Start Page


  • 151

End Page


  • 163

Volume


  • 4

Issue


  • 2