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    Fully Legendre spectral collocation technique for stochastic heat equations
    (De Gruyter, 2021) Abdelkawy, Mohamed A.; Ahmad, Hijaz; Jeelani, Mdi Begum; S. Alnahdi, Abeer
    For 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.