... of the human cornea, which leads to the highly nonlinear DDBVP. Design/methodology/approach The approach is a combined venture of quasilinearization along with Picard’s iterative technique. The nonlinear DDBVP is simplified to a sequence of linear problems through a quasilinearization technique. Making use...

... Licensed re-use rights only Multidimensional hyperbolic wave models Radial basis functions LRBF-FD approximation LRBF-DQ method Quasilinearization Stability analysis Errors This work aims to simulate 1D and 2D second order hyperbolic type wave models. Generally, the 2nd order hyperbolic...

... it for the solution of Caputo–Hadamard fractional linear/nonlinear initial and boundary value problems. The author has derived and constructed the new operational matrices for the mCAS wavelets. Furthermore, The author has also proposed a method which is the combination of mCAS wavelets and quasilinearization...

... difficulties in the solution approximation. In construction of the numerical scheme, quasilinearization is used to tackle the nonlinearity of the problem which is followed by semi discretization for spatial direction using differential quadrature method (DQM). Semi discretization of the problem leads...