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I am not a specialist on the subject but -having faced similar problems in the past- i know the situation can be quite tricky, especially since you put the question in general, including thus non-linear cases as well. (I will only refer to partial integro-differential eq.s since the topic of the numerical solution of PDEs has a quite extensive literature on its own).

Here are some articles, in which you may find some interest:

• Partial Integro-Differential Equations (PIDES),Ekaterina Voltchkova
• Partial Integro-Differential Equations: Classification & Solutions
• Solving Partial Integro-Differential Equations Using Laplace Transform Method, J.Thorwe, S. Bhalekar
• Solution of Partial Integro-Differential Equations by Elzaki Transform Method, Mohand M. Abdelrahim Mahgob, Tarig M. Elzaki
• A New Numerical Method for Fast Solution of Partial Integro-Differential Equations, P. Dourbal, M. Pekker
• Two Numerical Algorithms for Solving a Partial IntegroDifferential Equation with a Weakly Singular Kernel , J.-Mi Yoon, S. Xie and V. Hrynkiv

and an indicative list of stackexchange community posts on partial integro-differential equations (some have quite interesting answers and ideas):

• How to solve partial integro-differential equation? (Matlab)
• Partial integro-differential equation
• finding solution to a partial integro differential equation
• Solution of a partial integro-differential equation
• Solving a nasty partial differential equation (Mathematica).
• Partial integro-differential equations (code + Mapple).

I do not know of any book containing examples of implementations of Matlab/Mathematica/Mapple code for solving (partial) integro-differential equations. However, you could take a look at this post from Mathworks and this one from PhysicsForums as well.
Finally, some classic texts on implementing PDEs through Maple/Mathematica:

• Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica
• PDEs, an introduction with Mathematica and Maple

See also: Books and resources on PDEs that use Mathematica and Matlab

I am not a specialist on the subject, but having faced similar problems in the past, I know the situation can be quite tricky, especially since you put the question in general, including thus non-linear cases as well. (I will only refer to partial integro-differential equations since the topic of the numerical solution of PDEs has a quite extensive literature on its own).

Here are some articles, in which you may find some interest:

• Partial Integro-Differential Equations (PIDES),Ekaterina Voltchkova
• Partial Integro-Differential Equations: Classification & Solutions
• Solving Partial Integro-Differential Equations Using Laplace Transform Method, J.Thorwe, S. Bhalekar
• Solution of Partial Integro-Differential Equations by Elzaki Transform Method, Mohand M. Abdelrahim Mahgob, Tarig M. Elzaki
• A New Numerical Method for Fast Solution of Partial Integro-Differential Equations, P. Dourbal, M. Pekker
• Two Numerical Algorithms for Solving a Partial IntegroDifferential Equation with a Weakly Singular Kernel , J.-Mi Yoon, S. Xie and V. Hrynkiv

and an indicative list of Stack Exchange community posts on partial integro-differential equations (some have quite interesting answers and ideas):

• How to solve partial integro-differential equation? (Matlab)
• Partial integro-differential equation
• finding solution to a partial integro differential equation
• Solution of a partial integro-differential equation
• Solving a nasty partial differential equation (Mathematica).
• Partial integro-differential equations (code + Maple).

I do not know of any book containing examples of implementations of Matlab/Mathematica/Maple code for solving (partial) integro-differential equations. However, you could take a look at this post from Mathworks and this one from PhysicsForums as well.
Finally, some classic texts on implementing PDEs through Maple/Mathematica:

• Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica
• PDEs, an introduction with Mathematica and Maple

See also: Books and resources on PDEs that use Mathematica and Matlab

I am not a specialist at the subject but -having faced similar problems in the past- i know the situation can be quite tricky, especially since you put the question in general, including thus non-linear cases as well. (I will only refer to partial integro-differential eq.s since the topic of the numerical solution of PDEs has a quite extensive literature on its own).

Here are some articles, in which you may find some interest:

• Partial Integro-Differential Equations (PIDES),Ekaterina Voltchkova
• Partial Integro-Differential Equations: Classification & Solutions
• Solving Partial Integro-Differential Equations Using Laplace Transform Method, J.Thorwe, S. Bhalekar
• Solution of Partial Integro-Differential Equations by Elzaki Transform Method, Mohand M. Abdelrahim Mahgob, Tarig M. Elzaki
• A New Numerical Method for Fast Solution of Partial Integro-Differential Equations, P. Dourbal, M. Pekker
• Two Numerical Algorithms for Solving a Partial IntegroDifferential Equation with a Weakly Singular Kernel , J.-Mi Yoon, S. Xie and V. Hrynkiv

and an indicative list of stackexchange community posts on partial integro-differential equations (some have quite interesting answers and ideas):

• How to solve partial integro-differential equation? (Matlab)
• Partial integro-differential equation
• finding solution to a partial integro differential equation
• Solution of a partial integro-differential equation
• Solving a nasty partial differential equation (Mathematica).
• Partial integro-differential equations (code + Mapple).

I do not know of any book containing examples of implementations of Matlab/Mathematica/Mapple code for solving (partial) integro-differential equations. However, you could take a look at this post from Mathworks and this one from PhysicsForums as well.
Finally, some classic texts on implementing PDEs through Maple/Mathematica:

• Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica
• PDEs, an introduction with Mathematica and Maple

See also: Books and resources on PDEs that use Mathematica and Matlab

I am not a specialist on the subject but -having faced similar problems in the past- i know the situation can be quite tricky, especially since you put the question in general, including thus non-linear cases as well. (I will only refer to partial integro-differential eq.s since the topic of the numerical solution of PDEs has a quite extensive literature on its own).

Here are some articles, in which you may find some interest:

• Partial Integro-Differential Equations (PIDES),Ekaterina Voltchkova
• Partial Integro-Differential Equations: Classification & Solutions
• Solving Partial Integro-Differential Equations Using Laplace Transform Method, J.Thorwe, S. Bhalekar
• Solution of Partial Integro-Differential Equations by Elzaki Transform Method, Mohand M. Abdelrahim Mahgob, Tarig M. Elzaki
• A New Numerical Method for Fast Solution of Partial Integro-Differential Equations, P. Dourbal, M. Pekker
• Two Numerical Algorithms for Solving a Partial IntegroDifferential Equation with a Weakly Singular Kernel , J.-Mi Yoon, S. Xie and V. Hrynkiv

and an indicative list of stackexchange community posts on partial integro-differential equations (some have quite interesting answers and ideas):

• How to solve partial integro-differential equation? (Matlab)
• Partial integro-differential equation
• finding solution to a partial integro differential equation
• Solution of a partial integro-differential equation
• Solving a nasty partial differential equation (Mathematica).
• Partial integro-differential equations (code + Mapple).

I do not know of any book containing examples of implementations of Matlab/Mathematica/Mapple code for solving (partial) integro-differential equations. However, you could take a look at this post from Mathworks and this one from PhysicsForums as well.
Finally, some classic texts on implementing PDEs through Maple/Mathematica:

• Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica
• PDEs, an introduction with Mathematica and Maple

See also: Books and resources on PDEs that use Mathematica and Matlab

I am not a specialist at the subject but -having faced similar problems in the past- i know the situation can be quite tricky, especially since you put the question in general, including thus non-linear cases as well. (I will only refer to partial integro-differential eq.s since the topic of the numerical solution of PDEs has a quite extensive literature on its own).

Here are some articles, in which you may find some interest:

• Partial Integro-Differential Equations (PIDES),Ekaterina Voltchkova
• Partial Integro-Differential Equations: Classification & Solutions
• Solving Partial Integro-Differential Equations Using Laplace Transform Method, J.Thorwe, S. Bhalekar
• Solution of Partial Integro-Differential Equations by Elzaki Transform Method, Mohand M. Abdelrahim Mahgob, Tarig M. Elzaki
• A New Numerical Method for Fast Solution of Partial Integro-Differential Equations, P. Dourbal, M. Pekker
• Two Numerical Algorithms for Solving a Partial IntegroDifferential Equation with a Weakly Singular Kernel , J.-Mi Yoon, S. Xie and V. Hrynkiv

and an indicative list of stackexchange community posts on partial integro-differential equations (some have quite interesting answers and ideas):

• How to solve partial integro-differential equation?
• Partial integro-differential equation
• finding solution to a partial integro differential equation
• Solution of a partial integro-differential equation
• Solving a nasty partial differential equation (numerical, Mathematica).
• Partial integro-differential equations (numerical, code + Mapple).

I do not know of any book containing examples of implementations of Matlab/Mathematica/Mapple code for solving (partial) integro-differential equations. However, you could take a look at this post from Mathworks and this one from PhysicsForums as well.
Finally, some classic texts on implementing PDEs through Maple/Mathematica:

• Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica
• PDEs, an introduction with Mathematica and Maple

I am not a specialist at the subject but -having faced similar problems in the past- i know the situation can be quite tricky, especially since you put the question in general, including thus non-linear cases as well. (I will only refer to partial integro-differential eq.s since the topic of the numerical solution of PDEs has a quite extensive literature on its own).

Here are some articles, in which you may find some interest:

• Partial Integro-Differential Equations (PIDES),Ekaterina Voltchkova
• Partial Integro-Differential Equations: Classification & Solutions
• Solving Partial Integro-Differential Equations Using Laplace Transform Method, J.Thorwe, S. Bhalekar
• Solution of Partial Integro-Differential Equations by Elzaki Transform Method, Mohand M. Abdelrahim Mahgob, Tarig M. Elzaki
• A New Numerical Method for Fast Solution of Partial Integro-Differential Equations, P. Dourbal, M. Pekker
• Two Numerical Algorithms for Solving a Partial IntegroDifferential Equation with a Weakly Singular Kernel , J.-Mi Yoon, S. Xie and V. Hrynkiv

and an indicative list of stackexchange community posts on partial integro-differential equations (some have quite interesting answers and ideas):

• How to solve partial integro-differential equation? (Matlab)
• Partial integro-differential equation
• finding solution to a partial integro differential equation
• Solution of a partial integro-differential equation
• Solving a nasty partial differential equation (Mathematica).
• Partial integro-differential equations (code + Mapple).

I do not know of any book containing examples of implementations of Matlab/Mathematica/Mapple code for solving (partial) integro-differential equations. However, you could take a look at this post from Mathworks and this one from PhysicsForums as well.
Finally, some classic texts on implementing PDEs through Maple/Mathematica:

• Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica
• PDEs, an introduction with Mathematica and Maple

See also: Books and resources on PDEs that use Mathematica and Matlab