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We consider a fourth-order reaction–diffusion-type singularly perturbed boundary value problem with two small parametersandmultiplied to the fourth- and second-order derivative terms respectively. In this article, we restrict to a special case, whereand derive the finite element scheme using Ritz–Galerkin finite element method with lumping process. On discretizing the domain, the layer-adapted meshes like Standard-Shishkin, Bakhvalov-Shishkin and Modified-Bakhvalov-type meshes and piecewise quadratic polynomials are used and the error estimates are derived in-norm and energy norm. The numerical experiments given in the article supports these theoretical findings.

Energy norm error estimate for singularly perturbed fourth-order differential equation with two parameters