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Lagrange interpolation polynomials for solving nonlinear stochastic integral equations
In this article, an accurate computational approaches based on Lagrange basis and Jacobi-Gauss collocation method is suggested to solve a class of...
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A two-step Broyden-like method for nonlinear equations
In this paper, based on a nonmonotone derivative-free line search, we propose a two-step Broyden-like method (denoted by TS-BLM) for solving the...
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An inertial spectral conjugate gradient projection method for constrained nonlinear pseudo-monotone equations
Consider the nonlinear pseudo-monotone equations over a nonempty closed convex set. A spectral conjugate gradient projection method with the inertial...
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An efficient zeroing neural network for solving time-varying nonlinear equations
Defining efficient families of recurrent neural networks (RNN) models for solving time-varying nonlinear equations is an interesting research topic...
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A fractional Traub-Steffensen-type method for solving nonlinear equations
The application of fractional calculus for solving nonlinear equations through iterative techniques is an emerging area of research. In recent times,...
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A Numerical Approach for the System of Nonlinear Variable-order Fractional Volterra Integral Equations
In this paper, a combination approach based on Bernoulli polynomials and Gauss-Jacobi quadrature formula is developed to solve the system of...
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A neural network approach for solving nonlinear differential equations of Lane–Emden type
In this paper, we propose an Artificial Neural Network (ANN) method for solving some well-known classes of Lane–Emden type equations which are the...
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Inexact free derivative quasi-Newton method for large-scale nonlinear system of equations
In this work, we propose a free derivative quasi-Newton method for solving large-scale nonlinear systems of equation. We introduce a two-stage linear...
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Modified three-term derivative-free projection method for solving nonlinear monotone equations with application
In this paper, we propose a new modification of a three-term derivative-free projection algorithm for solving a system of monotone nonlinear...
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A fast linearized virtual element method on graded meshes for nonlinear time-fractional diffusion equations
In this paper, we develop a fast linearized virtual element method (VEM) for the approximation of the nonlinear time-fractional diffusion equations...
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Globally convergent diagonal Polak–Ribière–Polyak like algorithm for nonlinear equations
We present a derivative-free diagonal Polak–Ribière–Polyak like algorithm for solving large-scale systems of nonlinear equations. The search...
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Two classes of spectral three-term derivative-free method for solving nonlinear equations with application
Solving large-scale systems of nonlinear equations (SoNE) is a central task in mathematics that traverses different areas of applications. There are...
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Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay
In this paper, we propose an efficient Newton linearized numerical method for the nonlinear time-fractional parabolic equations with distributed...
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High order hybrid asymptotic augmented finite volume methods for nonlinear degenerate wave equations
In this paper, we provide high order hybrid asymptotic augmented finite volume schemes on a uniform grid for nonlinear weakly degenerate and strongly...
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A convergence analysis of hybrid gradient projection algorithm for constrained nonlinear equations with applications in compressed sensing
In this paper, we propose a projection-based hybrid spectral gradient algorithm for nonlinear equations with convex constraints, which is based on a...
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A new sufficiently descent algorithm for pseudomonotone nonlinear operator equations and signal reconstruction
This paper presents a new sufficiently descent algorithm for system of nonlinear equations where the underlying operator is pseudomonotone. The...
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A feedforward neural network framework for approximating the solutions to nonlinear ordinary differential equations
In this paper, we propose a method to approximate the solutions to nonlinear ordinary differential equations (ODE) using a deep learning feedforward...
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A sufficient descent LS-PRP-BFGS-like method for solving nonlinear monotone equations with application to image restoration
In this paper, we propose a method for efficiently obtaining an approximate solution for constrained nonlinear monotone operator equations. The...
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A unified convergence analysis of the derivative-free projection-based method for constrained nonlinear monotone equations
In this paper, we propose a general framework that provides a unified convergence analysis of the derivative-free projection-based method (DFPM) for...
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Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations
In this paper, we present two linearized BDF2 Galerkin FEMs for the nonlinear and coupled Schrödinger-Helmholtz equations. Different from the...
