In this article, we present a wavelet method for solving stochastic Volterra integral equations
based on Haar wavelets. First, we approximate all functions involved in the problem by Haar …

This paper focuses on an efficient spline‐based numerical technique for numerically
addressing a second‐order Volterra partial integrodifferential equation. The time derivative …

The purpose of this paper is to leverage the advantages of physics-informed neural network
(PINN) and convolutional neural network (CNN) by using Legendre multiwavelets (LMWs) …

In this paper, we introduce a hybrid approach based on modified neural networks and
optimization teqnique to solve ordinary differential equation. Using modified neural net-work …

We consider the design of an orthogonal symmetric/antisymmetric multiwavelet from its
matrix product filter by matrix spectral factorization. As a test problem, we construct a simple …

In this work, we present a computational method for solving high-order integro-differential
equations which is based on the use of Chebyshev Wavelets. The solution process is …

This paper deals with the comparison of some numerical methods for the solutions of first
and second orders linear integro differential equations. Two numerical methods employed …

In this paper, we introduce Legendre multiwavelet functions and use them as a set of base
functions to approximate the solution of a parabolic differential equation with an unknown …

A new polynomial method to solve Volterra–Fredholm Integral equations is presented in this
work. The method is based upon Shifted Legendre Polynomials. The properties of Shifted …

In this paper, numerical techniques based on the CAS wavelets method is proposed of the
numerical solution for two-dimensional partial differential equations of higher order. We …