Nature

Exact solutions for nonlinear partial differential equations via a fusion of classical methods and innovative approaches

This paper presents a new approach for finding exact solutions to certain classes of nonlinear partial differential equations (NLPDEs) by combining the variation of parameters method with classical ...
Scientific Research Publishing

Reproducing Kernel Hilbert Space Technique for Fourth-Order Singular Boundary Value Problems ()

Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...
Nature

A numerical approach to fractional Volterra–Fredholm integro-differential problems using shifted Chebyshev spectral collocation

This study presents an innovative numerical framework for addressing initial value problems (IVPs) in linear fractional Volterra–Fredholm integro-differential equations (FVFIDEs). The approach ...