Solving nonlinear singularly perturbed problems by fractional order exponential trial functions

摘要

The second-order time-varying nonlinear singularly perturbed problem is transformed to a weak-form integral equation by using the adjoint test functions. The weak-form integral equation method together with the fractional order exponential trial functions as the bases provides accurate numerical solutions of nonlinear singularly perturbed problems, of which the iterative algorithm is convergent very fast. (C) 2018 Elsevier Ltd. All rights reserved.