New methods are proposed for the numerical evaluation of f(A) or f(A)b, where f(A) is a function such as A1/2 or log(A) with singularities in (−∞, 0] and A is a matrix with eigenvalues on or near (0,∞). The methods are based on combining contour integrals evaluated by the periodic trapezoid rule with conformal maps involving Jacobi elliptic functions. The convergence is geometric, so that the c...

In this study, the Jacobi elliptic function method (JEFM) and modified auxiliary equation (MAEM) are used to investigate solitary wave solutions of nonlinear coupled Riemann (RW) equation. Nonlinear partial differential equations (NLPDEs) can be transformed into a collection algebraic by utilising travelling transformation. This study’s objective is learn more about non-linear RW equation, whic...

The stochastic fractional (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation (SFHFSCE), which is driven in the Stratonovich sense by a multiplicative Wiener process, considered here. analytical solutions of SFHFSCE are attained utilizing Jacobi elliptic function method. Various kinds solutions, for instance, functions, obtained. Physicists can utilize these to understand variety i...

The periodic wave solution for the generalized Hirota-Satsuma system was obtained by using the F-expansion method which can be thought of as a generalization of the Jacobi elliptic function method proposed recently. The Adomian decomposition method is used to solve the same system numerically and the approximate solution is compared with the exact solution. Moreover, we analyze the absolute err...

New methods are proposed for the numerical evaluation of f (A) or f (A)b, where f (A) is a function such as A 1/2 or log(A) with singularities in (−∞, 0] and A is a matrix with eigenvalues on or near (0, ∞). The methods are based on combining contour integrals evaluated by the periodic trapezoid rule with conformal maps involving Jacobi elliptic functions. The convergence is geometric, so that ...