Rearrangement of lattice particles by M. Muraskin

Get full text

A Method for Generating Approximate Similarity Solutions of Nonlinear Partial Differential Equations by Mazhar Iqbal, M. T. Mustafa, Azad A. Siddiqui

Get full text

Numerical solution based on the Haar wavelet collocation method for partial integro-differential equations of Volterra type by Najem A. Mohammad, Younis A. Sabawi, Mohammad Sh. Hasso

Get full text

Hybrid shifted polynomial scheme for the approximate solution of a class of nonlinear partial differential equations by Adewale E. Adenipekun, Adeniyi S. Onanaye, Olawale J. Adeleke, Muideen O. Ogunniran

Get full text

Approximate analytical solution of a class of highly nonlinear time–fractional-order partial differential equations by Richard Olu Awonusika

Get full text

Numerical approximation of time-fractional nonlinear partial integro-differential equation using fractional Euler and cubic trigonometric B-Spline methods by Mehwish Saleem, Arshed Ali, Fazal-i-Haq, Hassan Khan

Get full text

Two Numerical Methods for Solving the Schrödinger Parabolic and Pseudoparabolic Partial Differential Equations by Mahmut Modanli, Bushra Bajjah, Sevgi Kuşulay

Get full text

Unconditional Positive Stable Numerical Solution of Partial Integrodifferential Option Pricing Problems by M. Fakharany, R. Company, L. Jódar

“…This paper is concerned with the numerical solution of partial integrodifferential equation for option pricing models under a tempered stable process known as CGMY model. …”
Get full text

Approximation of the Generalized Lame Equations by the Strain Energy Functional by Tatyana Maltseva, Yury Klochkov, Tatyana Saltanova, Alexander Shusharin

Get full text

Exploring Stochastic Heat Equations: A Numerical Analysis with Fast Discrete Fourier Transform Techniques by Ahmed G. Khattab, Mourad S. Semary, Doaa A. Hammad, Aisha F. Fareed

Get full text

Solvability of Fuzzy Partially Differentiable Models for Caputo–Hadamard-Type Goursat Problems Involving Generalized Hukuhara Difference by Si-Yuan Lin, Heng-You Lan, Ji-Hong Li

“…By transforming the fuzzy partially differentiable models into equivalent integral equations and employing classical Banach and Schauder fixed-point theorems, we establish the existence and uniqueness of solutions for the fuzzy partially differentiable models. …”
Get full text

Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions by Zakieh Avazzadeh, Mohammad Heydari, Wen Chen, G. B. Loghmani

Get full text

About One Variational Problem, Leading to а Biharmonic Equation, and about the Approximate Solution of the Main Boundary Value Problem for this Equation by I. N. Meleshko, P. G. Lasy

“…The desired biharmonic function can be represented explicitly in the unit circle by means of the Poisson integral. An approximate solution of this problem is sometimes foundusing difference schemes. …”
Get full text

Numerical Solution of Three-Dimensional Transient Heat Conduction Equation in Cylindrical Coordinates by Endalew Getnet Tsega

“…The implementation of a numerical solution method for heat equation can vary with the geometry of the body. …”
Get full text

Different Approximations to the Solution of Upper-Convected Maxwell Fluid over a Porous Stretching Plate by Vasile Marinca, Remus-Daniel Ene, Bogdan Marinca, Romeo Negrea

“…This approach is highly efficient and it controls the convergence of the approximate solutions. Different approximations to the solution are given, showing the exceptionally good agreement between the analytical and numerical solutions of the nonlinear problem. …”
Get full text

General Formulas and Program Design for Manifold Method Based on Independent Covers Ⅰ:General Formulas by SU Hai-dong

“…By constructing approximate functions, it generates a “partitioned series solution” for partial differential equations. …”
Get full text

Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique by Aliaa Burqan, Mona Khandaqji, Zeyad Al-Zhour, Ahmad El-Ajou, Tasneem Alrahamneh

“…Finally, graphical and numerical comparison results at different values of α  are provided with residual and relative errors to illustrate the behaviors of the approximate results and the effectiveness of the proposed method.…”
Get full text

Solution of nonlinear telegraph equation with discontinuities along the transmission line using meshless collocation method by Muhammad Asif, Tabassum Gul, Muhammad Bilal Riaz, Faisal Bilal

Get full text

Implicit numerical technique for solving fractional Navier-Stoks equation with non-singular kernel by L. Azami, A. H. Refahi Sheikhani, H. Saberi Najafi

“…The effects of two topics are combined with Burgers equation as the diffusive and nonlinear effects. In the present study, using Crank–Nicholson finite difference technique such a problem is handled and the fractional derivative is approximated using the fractional Caputo-Fabrizio derivative. …”
Get full text

Double Laplace Decomposition Method and Finite Difference Method of Time-fractional Schrödinger Pseudoparabolic Partial Differential Equation with Caputo Derivative by Mahmut Modanli, Bushra Bajjah

“…The first method used is the double Laplace decomposition method where closed-form solutions are obtained for any α∈0,1. As the second method, the implicit finite difference scheme is applied to obtain the approximate solutions. …”
Get full text