EXISTENCE OF A SOLUTION OF A REACTION-DIFFUSION TYPE OF PROBLEM AND AN APPLİCATION

Yıl 2018, Cilt: 4 Sayı: 2, 66 - 69, 27.12.2018

Afgan ASLANOV

https://doi.org/10.23884/mejs.2018.4.2.02

Öz

    We
study the existence of solution of a reaction-diffusion type of problems. Then
the technique used in the proof applied to get an approximate solution of a
reaction-diffusion type of problem.

    

Anahtar Kelimeler

Monotone positive solutions, Second order nonlinear differential equations, Monoton pozitif çözüm, iki dereceli diferansiyel denklemler, reaksiyon-difüzyon prosesi

Kaynakça

• [1] G. Adomian, R. Rach, Nonlinear differential equations with negative power nonlinearities, Journal of Mathematical Analysis and Applications 112 (1985) 497--501.
• [2] G. Adomian, R. Rach, D. Sarafyan, On the solution of equations containing radicals by the decomposition method, Journal of Mathematical Analysis and Applications 111 (1985) 423--426.
• [3] G. Adomian, R. Rach, Solving nonlinear differential equations with decimal power nonlinearities, Journal of Mathematical Analysis and Applications 114 (1986) 423--425.
• [4] D. Lesnic. A nonlinear reaction--diffusion process using the Adomian decomposition method, International Communications in Heat and Mass Transfer 34 (2007) 129--135.