Year: 2025
Type: article
Abstract: Integral equations are powerful mathematical tools used to model and solve a vast array of real-world problems. Their ability to transform and simplify complex systems makes them essential in theoretical and applied sciences. Volterra integral equations are essential for modeling time-dependent, causal, and memory-influenced systems. They are mathematically tractable and appear in a wide variety of scientific and engineering contexts. Volterra integral equations appear when we convert initial value problem to an integral equation. The solution of volterra integral equation is much easier than the original initial value problem. Many problems of thermodynamics, biology, chemistry, medical sciences, physics, heat flow, neutron diffusion problem, electric circuit problem, transform problem mechanics, engineering can represent mathematically in terms of volterra integral equation of first kind and second kind. We used Successive approximation method; Variational iterative method and Laplace transform Method for solving volterra integral equations of second kind.
DOI: 10.14419/h3gtf208
Authors: Tejal R. Gore, Avinash V. Khambayat
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4417428110
FWCI:
Cites:
Cited by:
Related to: