High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain

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

“…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. Singh et al [58] have developed a collocation method-based technique for second order linear EPDEs with irregularities in one and two dimensions.…”

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

“… [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] . Mohanty et al.…”

Numerical Method for 2D Quasi-linear Hyperbolic Equation on an Irrational Domain: Application to Telegraphic Equation

“…Unequal mesh discretization plays an important role when the solution domain is irrational. Most recently, Priyadarshini and Mohanty 18,19 have presented novel ideas to approximate the solution of 2D quasi-linear elliptic PDEs on an irrational domain.…”