A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems

High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region

“…A new bi-cubic spline collocation method of fourth order accuracy has been designed by Singh and Singh [57] for a linear EPDE with DBCs. Most recently, new high accuracy approximations in exponential form for solving two-point BVPs on a variable mesh, and 2D nonlinear EPDEs on an unequal uniform mesh have been reported in [51] , [52] , [53] , [54] , [55] . Mohanty and Kumar [56] , and Priyadarshini and Mohanty [ 47 , 49 ] have proposed new high accuracy numerical algorithms for 2D quasilinear EPDEs using unequal mesh.…”

Higher order approximation in exponential form based on half-step grid-points for 2D quasilinear elliptic BVPs on a variant domain

“…[ 48 , 49 , 53 , 54 ] and Manchanda et al. [55] . Most recently, new high order approximations for 2D quasi-linear BVPEs involving an unequal mesh have been given by Priyadarshini and Mohanty in [56] and [57] .…”