Abdelkawy, Mohamed A.Ahmad, HijazJeelani, Mdi BegumS. Alnahdi, Abeer2022-12-202022-12-202021https://hdl.handle.net/11467/5942https://doi.org/10.1515/phys-2021-0073For the stochastic heat equation (SHE), a very accurate spectral method is considered. To solve the SHE, we suggest using a shifted Legendre Gauss–Lobatto collocation approach in combination with a shifted Legendre Gauss–Radau collocation technique. A comprehensive theoretical formulation is offered, together with numerical examples, to demonstrate the technique’s performance and competency. The scheme’s superiority in tackling the SHE is demonstrated.eninfo:eu-repo/semantics/openAccessquadrature, stochastic heat equation, collocation methodArticle1921921931Q3WOS:000747992600002N/A2-s2.0-8512426442510.1515/phys-2021-0073