in this paper, we introduce the new class of implicit l-stable generalized hybrid methods forthe numerical solution of first order initial value problems. we generalize the hybrid methodswith utilize ynv directly in the right hand side of classical hybrid methods. the numericalexperimentation showed that our method is considerably more efficient compared to wellknown methods used for the numer...

We consider the Cauchy problem for a first-order evolution equation with memory in finite-dimensional Hilbert space when integral term is related to time derivative of solution. The main problems approximate solution such nonlocal are due necessity work all previous moments. propose transformation integrodifferential system local evolutionary equations. use approach known theory Volterra equati...

Membrane-based polybenzimidazole (mPBI) emerges as an exciting electrolyte membrane for alkaline fuel cells and water electrolyzers due to its useful ion conductivity range after being doped with aqueous KOH. However, the polymer degradation at highly concentrations limits practical use. Herein, density functional theory (DFT) calculations are used study mechanism of mPBI molecule in solution. ...