...Fong Yew Leong; Dax Enshan Koh; Wei-Bin Ewe; Jian Feng Kong Purpose This study aims to assess the use of variational quantum imaginary time evolution for solving partial differential equations using real-amplitude ansätze with full circular entangling layers. A graphical mapping technique...

...) and numeric analysis (Pavé and Lebreton, 1973). In the early 1980s, Professor G. Adomian introduced a new, powerful and unique method that solved a wide range of functional equations (algebraic, differential, integral, integro‐differential and partial differential Equations). It has been proven...

...Alcino Resende Almeida; Renato Machado Cotta Different possibilities for the enhancement of convergence rates in eigenfunction expansions are investigated in the realm of integral transform solutions for partial differential equations. A representative parabolic problem is chosen to illustrate two...