
AbstractAn approximation method based on hybrid Legendre and Block–Pulse functions used for the solution of nonlinear Volterra–Fredholm integral equations (NV-FIEs). These hybrid functions operational matrices are presented and are utilized to reduce a nonlinear Volterra–Fredholm integral equation to a system of nonlinear algebraic equations. In addition, convergence analysis and numerical examples that illustrate the pertinent features of the method are presented.
Product matrix, Hybrid functions, Coefficient matrix, Nonlinear Volterra–Fredholm integral equations, Operational matrix
Product matrix, Hybrid functions, Coefficient matrix, Nonlinear Volterra–Fredholm integral equations, Operational matrix
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 9 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
